scientific article
From MaRDI portal
Publication:3686255
zbMath0569.76001MaRDI QIDQ3686255
Richard H. Pletcher, Dale A. Anderson, J. C. Tannehill
Publication date: 1984
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
stabilityconvergenceshock wavesturbulent flowsfinite-difference methodscompressible flowsboundary layer equationswell-posed problemsinviscid and viscous flowsthin layer flow
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to fluid mechanics (76-01) Basic methods in fluid mechanics (76M99)
Related Items
Dispersion of reactive species in Casson fluid flow ⋮ Nonlinear axial shear wave propagation in a hyperelastic incompressible solid ⋮ Numerical simulation of two-dimensional gas flows through granular phase change materials ⋮ A numerical algorithm for viscous incompressible interfacial flows ⋮ Asymptotic suction profiles for the Blasius and Sakiadis flow with constant and variable fluid properties ⋮ Particle modeling of cavity flow on a vector computer ⋮ An analysis of time discretization in the finite element solution of hyperbolic problems ⋮ Selected topics in the theory and practice of computational fluid dynamics ⋮ Work roll thermal expansion control in hot strip mill ⋮ A unified evolution equation for the Cauchy stress tensor of an isotropic elasto-visco-plastic material. II: Normal stress difference in a viscometric flow, and an unsteady flow with a moving boundary ⋮ On the advantages of the vorticity-velocity formulation of the equations of fluid dynamics ⋮ Quasimolecular modelling of the cavity problem on a vector computer ⋮ Streamwise computation of three-dimensional incompressible potential flows ⋮ Pulsatile flow of blood through a 2D double-stenosed channel: effect of stenosis and pulsatility on wall shear stress ⋮ The relation between flux vector splitting and parabolized schemes ⋮ The numerical solution of the Navier-Stokes equations for 3-dimensional, unsteady, incompressible flows by compact schemes ⋮ Numerical calculations of supersonic underexpanded jets in a cocurrent flow with the use of parabolized Navier-Stokes equations ⋮ Implicit methods for viscous incompressible flows ⋮ A comparative study of turbulence models performance for separating flow in a planar asymmetric diffuser ⋮ High Reynolds number Navier-Stokes solutions and boundary layer separation induced by a rectilinear vortex ⋮ Symbolic eigenvalue analysis for adaptive stepsize control in PNS shock stabilization ⋮ A combined scheme of finite elements and finite differences ⋮ Magnetohydrodynamic interaction in hypersonic air flow past a blunt body ⋮ Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics ⋮ Natural convection heat transfer between inner sphere and outer vertically eccentric cylinder ⋮ A semi-infinite domain eigenvalue problem describing turbulent velocity fluctuations ⋮ A high-resolution mapped grid algorithm for compressible multiphase flow problems ⋮ Higher-order accurate implicit time integration schemes for transport problems ⋮ Modeling low Mach number reacting flow with detailed chemistry and transport ⋮ Buoyancy effects on thermal boundary layer over a vertical plate with a convective surface boundary condition: new results ⋮ On the use of compact streamfunction-velocity formulation of steady Navier-Stokes equations on geometries beyond rectangular ⋮ Optimization of microscale vortex generators in a microchannel using advanced response surface method ⋮ Numerical study of the injection process in a transonic wind tunnel: the numerical details ⋮ 2-D and 3-D numerical modelling of a dynamic resonant shear stress sensor ⋮ Modified Eulerian-Lagrangian formulation for hydrodynamic modeling ⋮ On stability of difference schemes. Central schemes for hyperbolic conservation laws with source terms ⋮ Choice of an optimal initial solution for a wave equation in the variational iteration method ⋮ Dispersion of reactive solute in liquid flowing through a tube ⋮ A spline collocation approach for a generalized parabolic problem subject to non-classical conditions ⋮ Differential transform method for mathematical modeling of jamming transition problem in traffic congestion flow ⋮ Unsteady integrodifferential equation of fluid-structure interaction in constricted collapsible tube model of diseased human coronary artery ⋮ Discontinuous Galerkin solution of the Navier-Stokes equations on deformable domains ⋮ A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries ⋮ Effect of gas flow swirling on coating deposition by the cold gas-dynamic spray method ⋮ An iterative method for systems of nonlinear hyperbolic equations ⋮ Minimizing hot spot temperature of porous stackings in natural convection ⋮ Acceleration of a two-dimensional combustion code using MOSI to find the pressure and pressure-correction fields for a SIMPLER based algorithm ⋮ Eigenvalue calculation procedure for an Euler/Navier-Stokes solver with application to flows over airfoils ⋮ A modification of the \(k\)-\(k_L\)-\(\omega\) turbulence model for simulation of short and long separation bubbles ⋮ Laminar dissipative flow in a porous channel bounded by isothermal parallel plates ⋮ A formula for estimation of truncation errors of convection terms in a curvilinear coordinate system ⋮ Numerical stabilities and boundary conditions in time-domain Eulerian simulations of acoustic wave propagations with and without background flow ⋮ Approximate analytical and numerical solutions for a two-dimensional Stefan problem ⋮ Meshless finite difference method with higher order approximation -- applications in mechanics ⋮ Adaptive implicit/explicit finite element method for compressible viscous flows ⋮ On the study of multilevel difference methods ⋮ A Newton-Krylov method with an approximate analytical Jacobian for implicit solution of Navier-Stokes equations on staggered overset-curvilinear grids with immersed boundaries ⋮ A new adaptive grid generation by elliptic equations with orthogonality at all of the boundaries ⋮ On the suppression of numerical oscillations using a non-linear filter ⋮ Dynamical simulation and statistical analysis of velocity fluctuations of a turbulent flow behind a cube ⋮ Interaction of time stepping and convection schemes for unsteady flow simulation ⋮ A fourth order compact scheme for heat transfer problem in porous media ⋮ Numerical analysis of an unsteady confined supersonic jet ⋮ Numerical solution of a free boundary problem in hypersonic flow theory: Nonequilibrium viscous shock layers ⋮ Precise dental ablation using ultra-short-pulsed 1552 nm laser ⋮ A practical approach to algebraic grid adaption ⋮ Comparison of performance of three parallel versions of the block cyclic reduction algorithm for solving linear elliptic partial differential equations ⋮ Temperature factor effect on the structure of the separated flow within a supersonic gas stream ⋮ Numerical simulation of convective heat transfer between air flow and ceramic foams to optimise volumetric solar air receiver performances ⋮ On spatial instability of an electrically forced non-axisymmetric jet with curved centerline ⋮ Dispersion in unsteady Couette-Poiseuille flows ⋮ On the class of nonlinear PDEs that can be treated by the modified method of simplest equation. Application to generalized Degasperis-Processi equation and \(b\)-equation ⋮ Solution of 2D Navier-Stokes equation by coupled finite difference-dual reciprocity boundary element method ⋮ Finite differences method for shallow water equations in a class of discontinuous functions ⋮ Implementation methods of wall functions in cell-vertex numerical solvers ⋮ New numerical methods for Burgers' equation based on semi-Lagrangian and modified equation approaches ⋮ Nonsimilar aiding mixed convection along a moving cylinder ⋮ Modified method of simplest equation and its application to nonlinear PDEs ⋮ Applications of He's principles to partial differential equations ⋮ Heat and mass transfer in MHD non-darcian flow of a micropolar fluid over a stretching sheet embedded in a porous media with non-uniform heat source and thermal radiation ⋮ A critical analysis of the modified equation technique of warming and Hyett ⋮ A fourth-order accurate compact scheme for the solution of steady Navier-Stokes equations on non-uniform grids ⋮ A sharp interface immersed boundary method for compressible viscous flows ⋮ Transient laminar opposing mixed convection in a differentially and asymmetrically heated vertical channel of finite length ⋮ Coupled boundary element method and finite difference method for the heat conduction in laser processing ⋮ Methods of optimizing separation of compressible turbulent boundary-layer over a wedge with heat and mass transfer ⋮ Unsteady heat conduction involving phase changes for an irregular bubble/particle entrapped in a solid during freezing - an extension of the heat-balance integral method ⋮ A comparison of hyperbolic and parabolic models of phase change of a pure metal ⋮ Numerical method for multicomponent diffusion with a posteriori evaluation of calculation accuracy on the basis of mass balance ⋮ Multistep method of the numerical solution of the problem of modeling the circulation of atmosphere in the Cauchy problem ⋮ Experimental numerical studies on a supercomputer of natural convection in an enclosure with localized heating ⋮ Lattice-gas automaton simulations of simple fluid dynamical problems ⋮ Numerical solution of nonlinear hyperbolic conservation laws using exponential splines ⋮ Numerical simulation of diffusive processes in solids of revolution via the finite volume method and generalized coordinates ⋮ Characterization of a porous medium employing numerical tools: permeability and pressure-drop from Darcy to turbulence ⋮ Polarization effects due to the mutual influence of trajectory parameters and polarization ⋮ A new finite element method for solving compressible Navier-Stokes equations based on an operator splitting method and h-p adaptivity ⋮ Review of some adaptive node-movement techniques in finite-element and finite-difference solutions of partial differential equations ⋮ A numerical method for the self-similar hypersonic viscous shear layer ⋮ High order boundary extrapolation technique for finite difference methods on complex domains with Cartesian meshes ⋮ On transport of reactive solute in a pulsatile Casson fluid flow through an annulus ⋮ Towards entropy detection of anomalous mass and momentum exchange in incompressible fluid flow ⋮ Finite volume scheme for the solution of fluid flow problems on unstructured non-staggered grids ⋮ A simplified quasi-two-dimensional model for gain optimization in carbon dioxide gasdynamic lasers (GDL) ⋮ A class of higher order compact schemes for the unsteady two-dimensional convection-diffusion equation with variable convection coefficients ⋮ Extension of a combined analytical/numerical initial value problem solver for unsteady periodic flow ⋮ Modelling, computation and analysis on combustion of explosives ⋮ Absolute instability of light jets emerging from circular injector tubes ⋮ Viscous and inviscid spatial stability analysis of compressible swirling mixing layers ⋮ Enthalpy diffusion in multicomponent flows ⋮ Piecewise Linear Model of Phytoplankton Wave Propagation in Periodical Vortex Flow ⋮ Exact solutions to the Navier-Stokes equations describing stratified fluid flows ⋮ Convergence analysis of a fully discrete finite element method for thermally coupled incompressible MHD problems with temperature-dependent coefficients ⋮ Finite element simulation of combined buoyancy and thermocapillary driven convection in open cavities ⋮ Turbulent natural convection in a sidewall‐heated cavity using a two‐equation model of temperature ⋮ An unsteady incompressible Navier-Stokes solver for large eddy simulation of turbulent flows ⋮ A computer science approach for solving elliptic differential equations ⋮ Efficient hybrid Bayesian optimization algorithm with adaptive expected improvement acquisition function ⋮ High-order CENO finite-volume scheme with anisotropic adaptive mesh refinement: efficient inexact Newton method for steady three-dimensional flows ⋮ The transformed differential quadrature method for solving time-dependent partial differential equations: framework and examples ⋮ Numerical simulation of compressible gas flow in flat channels in the narrow channel approximation ⋮ A comparison of the finite‐difference and finite‐volume methods for a numerical solution of a hyperbolic thermoelasticity problem utilizing the implicit and explicit schemes ⋮ Dynamic adaptation for parabolic equations ⋮ A revised numerical model to predict heat transfer in turbulent flow ⋮ Numerical Model of Time-Dependent Gas Flows Through Bed of Granular Phase Change Material ⋮ Rusanov's third-order accurate scheme for modeling plasma oscillations ⋮ On the flow separation mechanism in the inverse Leidenfrost regime ⋮ Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method ⋮ Compressible starting jet: pinch-off and vortex ring–trailing jet interaction ⋮ Direct numerical simulation of scalar transport in turbulent flows over progressive surface waves ⋮ Stochastic consistency and stochastic stability in mean square sense for Cauchy advection problem ⋮ A comparison study on multivariant and univariant finite elements for three‐dimensional incompressible viscous flows ⋮ Linear, nonlinear and transitional regimes of second-mode instability ⋮ Unnamed Item ⋮ AN EXPERIMENT IN HURRICANE TRACK PREDICTION USING PARALLEL COMPUTING METHODS ⋮ Unnamed Item ⋮ Application of the space-time conservation element and solution element method to one-dimensional convection-diffusion problems ⋮ Algebraic grid generation ⋮ An adaptive grid algorithm for air-quality modeling ⋮ Direct numerical simulation of top-down and bottom-up diffusion in the convective boundary layer ⋮ A review and comparative study of upwind biased schemes for compressible flow computation. II: 1-D higher-order schemes ⋮ Unnamed Item ⋮ An incompressible three-dimensional multiphase particle-in-cell model for dense particle flows ⋮ Extension and application of the QUICKER scheme to a non‐uniform rectangular grid system ⋮ The (9,5) HOC formulation for the transient Navier–Stokes equations in primitive variable ⋮ L2-stability of the upwind first order finite volume scheme for the Maxwell equations in two and three dimensions on arbitrary unstructured meshes ⋮ Boundary layer formulations in orthogonal curvilinear coordinates for flow over wind-generated surface waves ⋮ A simulation-based mechanistic study of turbulent wind blowing over opposing water waves ⋮ A PDF description of turbulent plane couette flow ⋮ Inertial gravity current produced by the drainage of a cylindrical reservoir from an outer or inner edge ⋮ Identifying the tangle of vortex tubes in homogeneous isotropic turbulence ⋮ An improved (9,5) higher order compact scheme for the transient two-dimensional convection–diffusion equation ⋮ Finite‐difference approximation for the u(k)‐derivative with O(hM−k+1) accuracy: An analytical expression ⋮ A new approach to speed up the conjugate gradient method by applying the complex variable differentiation method ⋮ On the reversed flow and oscillating wake in an asymmetrically heated channel ⋮ COMPUTATION OF DILUTE PARTICULATE LAMINAR FLOW OVER A BACKWARD-FACING STEP ⋮ HIGH-ORDER-ACCURATE DISCRETIZATION STENCIL FOR AN ELLIPTIC EQUATION ⋮ Numerical study of three‐dimensional incompressible thermal flows in complex geometries ⋮ Acoustic streaming in Maxwell fluids generated by standing waves in two-dimensional microchannels ⋮ Perturbation Analysis of Nonlinear Stages in Hypersonic Transition ⋮ Application of a solution-adaptive method to fluid flow: Line and arclength approach ⋮ Kinetic flux vector splitting for Euler equations ⋮ Several new numerical methods for compressible shear-layer simulations ⋮ Validation of the integral model for the pyrolysis of charring materials with a moving grid ⋮ The numerical solution of linear ordinary differential equations by feedforward neural networks ⋮ The finite differences scheme for the first order system of nonlinear differential equations in a class of discontinuous functions ⋮ A moving domain formulation for modeling two dimensional open channel transient flows ⋮ Numerical solution of the incompressible, three-dimensional Navier-Stokes equations ⋮ Finite difference-finite element approach for solving fractional Oldroyd-B equation ⋮ Advances in control-volume-based finite-element methods for compressible flows ⋮ Numerical simulation of the instability of an inviscid liquid jet in coflowing compressible airstream ⋮ The time-asymptotic behavior of vortex breakdown in tubes ⋮ Wall boundary conditions for high-order finite difference schemes in computational aeroacoustics ⋮ Modeling of nonparallel effects in temporal direct numerical simulations of compressible boundary-layer transition ⋮ Computational study of non-ideal and mildly-unstable detonation waves ⋮ Grid generation in two dimensions using the complex variable boundary element method ⋮ An efficient adaptive high-order scheme based on the WENO process ⋮ Solution of fuzzy differential equations using fuzzy Sumudu transforms ⋮ A numerical study of a converging cylindrical shock problem in relaxing gas flow ⋮ Supersonic, turbulent flow computation and drag optimization for axisymmetric afterbodies ⋮ On the nature of PSE approximation ⋮ A semi-implicit method for internal boundary layers in compressible flows ⋮ Dynamic traffic assignment: Considerations on some deterministic modelling approaches ⋮ Three-dimensional simulations of incompressible and compressible flow stability ⋮ Finite element methods for parabolized Navier-Stokes equations ⋮ A comparative computational/experimental investigation of Mach 2 flow over a rearward-facing step ⋮ A novel implicit difference algorithm of primitive variable flow equations with higher-order extra terms ⋮ A numerical method for solving the three-dimensional parabolized Navier-Stokes equations ⋮ Vortex flows of a viscous heat-conducting gas in a slightly divergent tube with volume energy supply ⋮ Asymptotic methods for solitary solutions and compactons ⋮ Finite difference schemes for solving system equations of gas dynamic in a class of discontinuous functions. ⋮ A toolkit for numerical simulation of PDEs. I: Fundamentals of generic finite volume simulation. ⋮ Steady magnetohydrodynamic flow in a diverging channel with suction or blowing ⋮ Numerical study of air-jet vortex generators in a turbulent boundary layer. ⋮ The nonsimilar laminar wall jet with uniform blowing or suction: new results ⋮ On the performance of linear and nonlinear \(k-\epsilon\) turbulence models in various jet flow applications ⋮ Dispersion of settling particles in oscillatory turbulent flow subject to deposition and re-entrainment ⋮ Evaluation of \(V\) and \(W\) multiple grid cycles for modeling one and two-dimensional transient free surface flows. ⋮ A finite differences method for a two-dimensional nonlinear hyperbolic equation in a class of discontinuous functions ⋮ Numerical solution of Cauchy problem for second order nonlinear wave equation with changeable type in a class of discontinues functions. ⋮ On the application of the Fourier series solution to the hydromagnetic buoyant two-dimensional laminar vertical jet ⋮ Extending Gal-Chen and Somerville terrain-following coordinate transformation on time-dependent curvilinear boundaries. ⋮ Jacobian-free Newton-Krylov methods: a survey of approaches and applications. ⋮ Nonlinear rupture of thin free liquid sheets ⋮ Analysis of a preconditioned GMRES solver for a nonsymmetric SUPG discretization of the compressible Navier-Stokes equations ⋮ The space-time conservation element and solution element method: A new high-resolution and genuinely multidimensional paradigm for solving conservation laws ⋮ Finite difference method for solving boundary initial value problem of a system hyperbolic equations in a class of discontinuous functions. ⋮ A high-order implicit procedure for the 3-D electric field in complex magnetogasdynamic simulations. ⋮ Turbulent, mixing of a scalar quantity in a 2-D mixing layer using matched asymptotic expansions ⋮ A compact difference scheme for the Navier-Stokes equations in vorticity-velocity formulation ⋮ Von Neumann stability analysis of first-order accurate discretization schemes for one-dimensional (1D) and two-dimensional (2D) fluid flow equations ⋮ Complex variable boundary element methods for the solution of potential problems in simply and multiply connected domains ⋮ Adaptive implicit/explicit finite element methods for axisymmetric viscous turbulent flows with moving boundaries ⋮ An iterative scheme for numerical solution of steady incompressible viscous flows ⋮ Computational implementation of a coupled plasma-neutral fluid model ⋮ The venerable 1/7th power law turbulent velocity profile: a classical nonlinear boundary value problem solution and its relationship to stochastic processes ⋮ Approximate inertial manifold-base finite-difference operators and quasi-steady solutions of parabolic PDEs with application to sediment transport ⋮ Review of code and solution verification procedures for computational simulation ⋮ Dynamics of plumes in turbulent Rayleigh-Bénard convection ⋮ Finite element simulation of nonlinear convective heat and mass transfer in a micropolar fluid-filled enclosure with Rayleigh number effects ⋮ A new high order compact off-step discretization for the system of 3D quasi-linear elliptic partial differential equations ⋮ Mathematical modelling of carbon nanotube with fluid flow using Keller box method: a vibrational study ⋮ On elastoplastic analysis of some plane stress problems with meshless methods and successive approximations method ⋮ A computer code for analyzing transient three-dimensional rapid granular flows in complex geometries ⋮ Numerical analysis of coupled hydromagnetic wave equations with a finite difference scheme ⋮ A dynamic model for a Timoshenko beam in an elastic-plastic state ⋮ Self-sustaining thermoconvective flows in the absence of external force fields ⋮ Approximate solution of the three-dimensional inverse problem for nonlifting bodies with optimum cavitation characteristics ⋮ Simulation of crossflow instability on a supersonic highly swept wing ⋮ High-order compact-difference schemes for time-dependent Maxwell equations ⋮ A consistent approach to large eddy simulation using adaptive mesh refinement ⋮ Adaptive mesh and algorithm refinement using direct simulation Monte Carlo ⋮ A semi-implicit numerical scheme for reacting flow. II: Stiff, operator-split formulation ⋮ Space-marching method for calculating steady supersonic flows on a grid adapted to the solution ⋮ Nonparallel and nonlinear stability of supersonic jet flow ⋮ Computer aided analysis of 1-D compressible flow problems in a Lagrangian particle description using the \(\alpha\) method ⋮ A model for the simulation of turbulent boundary layers in an incompressible stratified flow ⋮ A semi-implicit numerical scheme for reacting flow. I: Stiff chemistry ⋮ Stability of a viscous subsonic heat-conducting swirl flow ⋮ A combined BEM-FEM model for the velocity-vorticity formulation of the Navier-Stokes equations in three dimensions ⋮ Sensitivity-based methods for convergence acceleration of iterative algorithms. ⋮ Effect of volume energy supply on swirled flows in a subsonic cocurrent stream ⋮ Numerical solution of problems on unbounded domains. A review ⋮ A new NND difference scheme of second-order in time and space ⋮ A combined analytical singularity subtraction method and compact implicit differencing scheme for aerodynamic mixing ⋮ An \(h\)-adaptive finite element method with highly stretched elements for compressible Navier-Stokes equations ⋮ The construction of numerical scheme for hyperbolic equation and exact consideration of numerical diffusion and dispersion ⋮ Subsonic compressible cavitation flow past a plate at small cavitation numbers ⋮ Penetrative convection in a horizontal layer of seawater near its freezing point ⋮ On the use of higher-order finite-difference schemes on curvilinear and deforming meshes ⋮ Analysis of a model of membrane potential for a skin receptor ⋮ Numerical simulation of turbulent flow in the inlet region of a smooth pipe ⋮ Introduction of non-uniformity through linearization of the system governing turbulent mixing of a scalar quantity in a 2-d mixing layer. ⋮ An improved radiating boundary equation for free surface flows. ⋮ A theory of heating of Voigt solids and fluids by external energy sources and flame theory ⋮ Free convection in the boundary layer flow of a micropolar fluid along a vertical wavy surface ⋮ ``Thermal layer effect in MHD: Interaction of a parallel shock with a layer of decreased density ⋮ Resonance in fiber-reinforced composite materials with sinusoidal stiffness properties ⋮ Multiple stream superposition of a two-stream combined analytical numerical initial value problem solver for aerodynamic mixing. ⋮ Hydrodynamic modeling of short-channel devices using an upwind flux vector splitting scheme. ⋮ Energy dissipation in unsteady turbulent pipe flows caused by water hammer ⋮ Determination of the optimal relaxation parameters for the solution of the Neumann-Poisson problem on uniform and non-uniform meshes using the scheduled relaxation Jacobi method ⋮ A highly accurate numerical solution of a biharmonic equation ⋮ Application of the decomposition method to the solution of the reaction- convection-diffusion equation ⋮ On the accuracy of a numerical method for linear interfacial motion ⋮ Numerical simulation of solitary blood waves in an elastic tube subjected to a localised deformation ⋮ Unnamed Item ⋮ Finite difference approximations of multidimensional convection-diffusion-reaction problems with small diffusion on a special grid ⋮ A class of embedded discontinuous Galerkin methods for computational fluid dynamics ⋮ Finite element analysis of solidification using object-oriented and parallel techniques ⋮ The Jameson's numerical method for solving the incompressible viscous and inviscid flows by means of artificial compressibility and preconditioning method ⋮ Mass and heat transfer study in solids of revolution via numerical simulations using finite volume method and generalized coordinates for the Cauchy boundary condition ⋮ Simulation of a cylindrical slow extraordinary wave in cold magnetoactive plasma ⋮ Sharp monotonic resolution of discontinuities without clipping of narrow extrema ⋮ Variational iteration method for solving wave equation ⋮ MacCormack's scheme applied to plane wave propagation in a linear viscoelastic solid ⋮ A meshfree technique for the numerical solutions of nonlinear Fornberg-Whitham and Degasperis-Procesi equations with their modified forms ⋮ p‐version least‐squares finite element formulation of Burgers' equation ⋮ In search of optimal acceleration approach to iterative solution methods of simultaneous algebraic equations ⋮ An efficient implicit compact streamfunction velocity formulation of two dimensional flows ⋮ Monotone schemes for convection-diffusion problems with convective transport in different forms ⋮ Unnamed Item ⋮ Haar wavelet collocation method for three-dimensional elliptic partial differential equations ⋮ Boundary conformed co-ordinate systems for selected two-dimensional fluid flow problems. Part I: Generation of BFGs ⋮ Finite difference and finite element methods for mhd channel flows ⋮ A consistent boundary element method for free surface hydrodynamic calculations ⋮ A modified adaptive grid method for recirculating flows ⋮ A hybrid \(\psi\)-\(v\) HOC approach for surface tension driven flows in level set framework ⋮ A new method for obtaining the exact solutions of the Navier-Stokes (NS) equations and its applications ⋮ Algorithm for solving the Navier-Stokes equations for the modeling of creeping flows ⋮ Application of A pressure gradient method to an FEM flow analysis ⋮ Influence of monotonization on the spectral resolution of bicompact schemes in the inviscid Taylor-Green vortex problem ⋮ Downstream implicit schemes for advection ⋮ Method of lines applied to hyperbolic fluid transient equations ⋮ A quadratic-element formulation of the complex variable boundary element method ⋮ Axial and radial dynamics of compressible vortex rings ⋮ Development of a numerical model designed to calculate the temperature field and thermal stresses in structural elements of aircrafts ⋮ Modeling epidemic flow with fluid dynamics ⋮ A note on the Blasius and Sakiadis flow of a non-Newtonian power-law fluid in a constant transverse magnetic field ⋮ Numerical investigation of fast precooling of a cylindrical food product based on the hyperbolic heat conduction model ⋮ Free convection in a tilted triangle porous cavity filled with Cu-water nanofluid with flush mounted heater on the wall ⋮ A semi-discrete higher order compact scheme for the unsteady two-dimensional Schrödinger equation ⋮ Higher order meshless schemes applied to the finite element method in elliptic problems ⋮ PARALLEL IMPLEMENTATION OF A NAVIER–STOKES SOLVER: TURBULENT EKMAN LAYER DIRECT SIMULATION ⋮ Application of the energy conservation law in the cold plasma model ⋮ Performance of a multigrid calculation procedure in three-dimensional sudden expansion flows ⋮ Artificial fluid properties for large-eddy simulation of compressible turbulent mixing ⋮ Numerical Simulation of Free-Boundary Problems ⋮ On the derivation of the modified equation for the analysis of linear numerical methods ⋮ Unnamed Item ⋮ Linked Simulation Optimization Model for Evaluation of Optimal Bank Protection Measures ⋮ Solution of the Navier-Stokes equation with finite differences on unstructured triangular meshes ⋮ Error estimation using the error transport equation for finite-volume methods and arbitrary meshes ⋮ Stream function–potential function coordinates for aeroacoustics and unsteady aerodynamics ⋮ Improved treatment of intersecting bodies with the chimera method and validation with a simple and fast flow solver ⋮ Instability and mixing flux in frontal displacement of viscous fluids from porous media ⋮ Study of MHD boundary layer flow over a heated stretching sheet with variable viscosity: A numerical reinvestigation ⋮ Discontinuous Galerkin error estimation for linear symmetrizable hyperbolic systems ⋮ Numerical analysis of the external slow flows of a viscous fluid using the R-function method ⋮ Marangoni-induced deformation of evaporating liquid films on composite substrates ⋮ Semi-Lagrangian approximation of conservation laws in the flow around a wedge ⋮ Three-dimensional reduced Navier-Stokes solutions for subsonic separated and non-separated flows, using a global pressure relaxation procedure ⋮ Numerical study for a model of tumor virotherapy ⋮ On the interaction of turbulent shear layers with harmonic perturbations ⋮ Fourth-order exponential finite difference methods for boundary value problems of convective diffusion type ⋮ Parallel versions of Stone's strongly implicit algorithm ⋮ A windowed Fourier pseudospectral method for hyperbolic conservation laws ⋮ Integral transform solution of internal flow problems based on Navier–Stokes equations and primitive variables formulation ⋮ Numerical solution of multidimensional hyperbolic PDEs using defect correction on adaptive grids ⋮ Improved laminar predictions using a stabilised time-dependent simple scheme ⋮ On dispersion of settling particles from an elevated source in an open-channel flow ⋮ An investigation of mesh-less calculation for compressible turbulent flows ⋮ Numerical Simulation of the 3D Laminar Viscous Flow on a Horizontal-axis Wind Turbine Blade ⋮ Modelling non-isothermal absorption of vapour into expanding liquid sheets ⋮ The nonsimilar laminar wall plume in a constant transverse magnetic field ⋮ A thermo-mechanical continuum theory with internal length for cohesionless granular materials. II: Non-equilibrium postulates and numerical simulations of simple shear, plane Poiseuille and gravity driven problems. ⋮ Boundary element method for solving an inhomogeneous biharmonic equation with a right-hand side containing the unknown function and its derivatives ⋮ Numerical modelling of 3D convection in the Earth mantle ⋮ Use of two-step split-operator approach for 2D shallow water flow computation ⋮ A Matlab software for approximate solution of 2D elliptic problems by means of the meshless Monte Carlo random walk method ⋮ The method of fundamental solutions for the Stokes flow with the subdomain technique ⋮ An iteration-free approach to solving the Navier-Stokes equations by implicit finite difference schemes in the vorticity-stream function formulation ⋮ Dispersion of fine settling particles from an elevated source in an oscillatory turbulent flow ⋮ A model-order reduction method based on wavelets and POD to solve nonlinear transient and steady-state continuation problems ⋮ Advances in the Application of High-order Techniques in Simulation of Multi-disciplinary Phenomena ⋮ Unsteady two-dimensional suspended sediment transport in open channel flow subject to deposition and re-entrainment ⋮ Influence of electron temperature on breaking of plasma oscillations ⋮ Local pressure preconditioning method for steady incompressible flows ⋮ Transport of a reactive solute in a pulsatile non-Newtonian liquid flowing through an annular pipe ⋮ Strategies for control of transitional and turbulent flows using plasma-based actuators ⋮ Numerical simulation of shock tube generated vortex: effect of numerics ⋮ Numerical solution of one dimensional filtration of three phase compressible fluid through porous medium in a class of discontinuous functions ⋮ Combination of the meshless finite difference approach with the Monte Carlo random walk technique for solution of elliptic problems ⋮ MHD compressible turbulent boundary-layer flow with adverse pressure gradient ⋮ Unnamed Item ⋮ Computation of 2D Navier–Stokes equations with moving interfaces by using GMRES ⋮ THE DEVELOPMENT OF A ONE‐STEP ACCURATE FLUX VECTOR‐SPLITTING IMPLICIT ALGORITHM FOR EULER AND NAVIER‐STOKES EQUATIONS ⋮ Improvement of a pressure gradient method and its application to an unsteady flow problem ⋮ Numerical investigation of two models of nonlinear fractional reaction subdiffusion equations ⋮ Method of Lines for Transient Flow Fields
