A numerical method for solving incompressible viscous flow problems
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Publication:2525315
DOI10.1016/0021-9991(67)90037-XzbMath0149.44802OpenAlexW4376596376WikidataQ30047529 ScholiaQ30047529MaRDI QIDQ2525315
Publication date: 1967
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9991(67)90037-x
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Free convection (76R10)
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schemes for the incompressible Navier-Stokes equations on moving overlapping grids, The more actual macroscopic equations recovered from lattice Boltzmann equation and their applications, A phase-field fluid modeling and computation with interfacial profile correction term, The localized differential quadrature method for two-dimensional stream function formulation of Navier-Stokes equations, Energy-stable linear schemes for polymer-solvent phase field models, Sharp interface approaches and deep learning techniques for multiphase flows, Stabilised finite element methods for steady incompressible flow, A novel roe solver for incompressible two-phase flow problems, A unified approach to monolithic solid-fluid coupling of sub-grid and more resolved solids, Sharp numerical simulation of incompressible two-phase flows, Immersed boundary method with irrotational discrete delta vector for droplet simulations of large density ratio, Vaporization of liquid droplet with large deformation and 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II, On the accuracy of the pseudocompressibility method in solving the incompressible Navier-Stokes equations, A multilevel Schwarz shooting method for the solution of the Poisson equation in two dimensional incompressible flow simulations, A novel staggered semi-implicit space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations, An unconditionally energy stable method for binary incompressible heat conductive fluids based on the phase-field model, Artificial compressibility approaches in flux reconstruction for incompressible viscous flow simulations, A high-order artificial compressibility method based on Taylor series time-stepping for variable density flow, A stochastic projection method for fluid flow. II: Random process, Three linear, unconditionally stable, second order decoupling methods for the Allen-Cahn-Navier-Stokes phase field model, Extension of a Roe-type Riemann solver scheme to model non-hydrostatic pressure shallow flows, Fast and accurate artificial compressibility ensemble algorithms for computing parameterized Stokes-Darcy flow ensembles, A high-resolution characteristics-based implicit dual time-stepping VOF method for free surface flow simulation on unstructured grids, PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method., On Chorin's method for stationary solutions of the Oberbeck-Boussinesq equation, A third-order velocity correction scheme obtained at the discrete level, Applications of dynamic hybrid grid method for three-dimensional moving/deforming boundary problems, Numerical study of the thunniform mode of fish swimming with different Reynolds number and caudal fin shape, An arbitrary Lagrangian-Eulerian gradient smoothing method (GSM/ALE) for interaction of fluid and a moving rigid body, Aerodynamic effects of the early three-dimensional instabilities in the flow over one and two circular cylinders in tandem predicted by the lattice Boltzmann method, On some pressure segregation methods of fractional-step type for the finite element approximation of incompressible flow problems, An artificial compressibility based characteristic based split (CBS) scheme for steady and unsteady turbulent incompressible flows, Finite calculus formulations for finite element analysis of incompressible flows. Eulerian, ALE and Lagrangian approaches, Improving the speed and accuracy of projection-type incompressible flow solvers, Fast and accurate simulations of air-cooled structures, A global meshless collocation particular solution method for solving the two-dimensional Navier-Stokes system of equations, An Eulerian projection method for quasi-static elastoplasticity, A high-order solver for unsteady incompressible Navier-Stokes equations using the flux reconstruction method on unstructured grids with implicit dual time stepping, Comparison of structured- and unstructured-grid, compressible and incompressible methods using the vortex pairing problem, The immersed boundary method: a projection approach, Meshfree iterative stabilized Taylor-Galerkin and characteristic-based split (CBS) algorithms for incompressible N-S equations, Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods, Simulation of airflow fields and microparticle deposition in realistic human lung airway models. I: Airflow patterns, Mixed finite element method for generalized convection-diffusion equations based on an implicit characteristic-based algorithm, Numerical solution strategy for natural convection problems in a triangular cavity using a direct meshless local Petrov-Galerkin method combined with an implicit artificial-compressibility model, A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies, Compromising with corrector step of SIMPLE algorithm, Stability and comparison of different linear tetrahedral formulations for nearly incompressible explicit dynamic applications, Consistent time-step optimization in the lattice Boltzmann method, Projection method for the fluctuating hydrodynamics equations, Assessment of characteristic boundary conditions based on the artificial compressibility method in generalized curvilinear coordinates for solution of the Euler equations, Local preconditioning and variational multiscale stabilization for Euler compressible steady flow, A stable interface-preserving reinitialization equation for conservative level set method, Artificial diffusion for convective and acoustic low Mach number flows. I: Analysis of the modified equations, and application to Roe-type schemes, A conservative and well-balanced surface tension model, Artificial compressibility SAV ensemble algorithms for the incompressible Navier-Stokes equations, Fluctuation Splitting Schemes for the Compressible and Incompressible Euler and Navier-Stokes Equations, Recent ship hydrodynamics developments in the parallel two-fluid flow solver Alya, Simulation of turbulent flow by lattice Boltzmann method and conventional method on a GPU, A comparative study of finite volume pressure-correction projection methods on co-located grid arrangements, A diffuse interface method for complex three-dimensional free surface flows, Unified Curvilinear Ocean Atmosphere Model (UCOAM): a vertical velocity case study, Numerical simulations of flow through channels with T-junction, Simulations of flow through fluid/porous layers by a characteristic-based method on unstructured grids, Multigrid solution method for the steady RANS equations, On the characteristics-based ACM for incompressible flows, A direct comparison between volume and surface tracking methods with a boundary-fitted coordinate transformation and third-order upwinding, A Fast, Matrix-free Implicit Method for Computing Low Mach Number Flows on Unstructured Grids, Incompressible flows with combustion simulated by a preconditioning method using multigrid acceleration and MUSCL reconstruction, A HLLC-type finite volume method for incompressible two-phase flows, The continuous adjoint cut-cell method for shape optimization in cavitating flows, A refined moving particle pressure mesh (MPPM) method for solving incompressible Navier-Stokes equations, Dual-time smoothed particle hydrodynamics for incompressible fluid simulation, Numerical study of incompressible binary fluids on 3D curved surfaces based on the conservative Allen-Cahn-Navier-Stokes model, Prediction on steady-oscillatory transition via Hopf bifurcation in a three-dimensional (3D) lid-driven cube, A finite difference interpretation of the lattice Boltzmann method, A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics, Smoothed particle hydrodynamics and finite volume modelling of incompressible fluid flow, Application of an unstructured Navier-Stokes code to prediction of adiabatic effectiveness of endwall flush-slot-cooling for a stator vane passage, An implicit finite volume method for the solution of 3D low Mach number viscous flows using a local preconditioning technique, A surface capturing method for the efficient computation of steady water waves, A second order primitive preconditioner for solving all speed multi-phase flows, An arbitrary Lagrangian Eulerian method for moving-boundary problems and its application to jumping over water, Numerical simulation of viscous flows with free surface around realistic hull forms with transom, Development of an Artificial Compressibility Methodology with Implicit LU-SGS Method, Steady viscous flows by compact differences in boundary-fitted coordinates, Parallel-multigrid computation of unsteady incompressible viscous flows using a matrix-free implicit method and high-resolution characteristics-based scheme, A novel coupled level set and volume of fluid method for sharp interface capturing on 3D tetrahedral grids, A staggered grid, high-order accurate method for the incompressible Navier-Stokes equations, The discrete continuity equation in primitive variable solutions of incompressible flow, Modeling incompressible flows using a finite particle method, Computational challenges of viscous incompressible flows, Simulation of two-dimensional decaying turbulence using the ``incompressible extensions of the lattice Boltzmann method, A least-squares finite element formulation for unsteady incompressible flows with improved velocity-pressure coupling, A geometric multigrid accelerated incompressible flow simulation over complex geometries, A fractional step method for computational aeroacoustics using weak imposition of Dirichlet boundary conditions, A SIMPLE-based algorithm with enhanced velocity corrections: the COMPLEX method, Numerical solution of compressible and incompressible unsteady flows in channel inspired by vocal tract, On numerical simulation of three-dimensional flow problems by finite element and finite volume techniques, Double-population link-wise artificial compressibility method for simulating two-dimensional magnetoconvection, A Lagrangian method for calculating the dynamics of an incrompressible fluid with free surface, Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. I, A method for including arbitrary external boundaries in the MAC incompressible fluid computing technique, Solution of confined vortex problems, Algebraic splitting methods for the steady incompressible Navier-Stokes equations at moderate Reynolds numbers, Numerical simulations of unsteady viscous incompressible flows using general pressure equation, High-order upwind and non-oscillatory approach for steady state diffusion, advection-diffusion and application to magnetized electrons, A penalization method for the simulation of weakly compressible reacting gas-particle flows with general boundary conditions, Local pressure preconditioning method for steady incompressible flows, On the numerical treatment of the Navier-Stokes equations for an incompressible fluid, The method of the false transient for the solution of coupled elliptic equations, Chorin's approaches revisited: vortex particle method vs finite volume method, Incompressible Navier-Stokes method with general hybrid meshes, Artificial compressibility, characteristics-based schemes for variable density, incompressible, multi-species flows. I: Derivation of different formulations and constant density limit, Artificial compressibility, characteristics-based schemes for variable-density, incompressible, multispecies flows. II: Multigrid implementation and numerical tests, An immersed boundary method coupled with a dynamic overlapping-grids strategy, A development of a sharp interface AUSMD scheme for an incompressible preconditioning multi-fluid model, High fidelity field simulations using density and pressure based approaches, A B-spline collocation method for solving the incompressible Navier-Stokes equations using an ad hoc method: the boundary residual method, The effect of an insoluble surfactant on the skin friction of a bubble, An explicit finite difference scheme for simulation of moving particles, Time-accurate calculation of variable density flows with strong temperature gradients and combustion, Computational study of incompressible turbulent flows with method of characteristics, Stable element-free Galerkin solution procedures for the coupled soil-pore fluid problem, The unified simulation for incompressible and compressible flow by the predictor-corrector scheme based on the CIP method, New approach in boundary conditions for incompressible flows using characteristic relations, A time accurate calculation procedure for flows with a free surface using a modified artificial compressibility formulation, Application of an all-speed implicit non-dissipative DNS algorithm to hydrodynamic instabilities, An upwind finite volume method for incompressible inviscid free surface flows, Genuinely characteristic-based scheme for the incompressible turbulent flows, Flow-induced vibration on a circular cylinder in planar shear flow, Parallelization of an unstructured Navier-Stokes solver using a multi-color ordering method for openmp, Simulation of doubly periodic shear layers using kinetically reduced local Navier-Stokes equations on a GPU, Comparison of virtual flux method on LBM and on other methods on a GPU, Efficient and non-reflecting far-field boundary conditions for incompressible flow calculations, Higher order numerical simulation of unsteady viscous incompressible flows using kinetically reduced local Navier-Stokes equations on a GPU, Directive-based GPU programming for computational fluid dynamics, A staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshes, Modified MPS method for the 2D fluid structure interaction problem with free surface, Numerical simulation of incompressible Navier-Stokes and Euler equations to the vortical flow about a delta wing, Numerical algorithms for flows in the nodes of 2D models of pipe networks, A full three dimensional numerical simulation of the sediment transport and the scouring at a rectangular obstacle, A novel Hermite Taylor least square based meshfree framework with adaptive upwind scheme for two dimensional incompressible flows, Generalized Riemann problem-based upwind scheme for the vorticity transport equations, A sharp interface immersed boundary method for moving geometries with mass conservation and smooth pressure variation, A high-order flux reconstruction/correction procedure via reconstruction formulation for unsteady incompressible flow on unstructured moving grids, On three-dimensional ALE finite element model for simulating deformed interstitial medium in the presence of a moving needle, A physics based multiscale modeling of cavitating flows, A wavelet based numerical simulation technique for two-phase flows using the phase field method, Investigations of a compressible second order finite volume code towards the incompressible limit, A low-dissipation convection scheme for the stable discretization of turbulent interfacial flow, Computational analysis of fluid flow due to a two-sided lid driven cavity with a circular cylinder, The use of artificial compressibility to improve partitioned semi-implicit FSI coupling within the classical Chorin-Témam projection framework, Numerical simulation of the temporal evolution of a three dimensional barchanoid dune and the corresponding sediment dynamics, 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