A stable and accurate convective modelling procedure based on quadratic upstream interpolation

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Publication:1134611

DOI10.1016/0045-7825(79)90034-3zbMath0423.76070OpenAlexW2098920641MaRDI QIDQ1134611

B. P. Leonard

Publication date: 1979

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(79)90034-3

zbMATH Keywords

conservative control-volume formulationinherent numerical convective stability algorithmic simplicityLeit's three-point methodquadratic upstream interpolationstable and accurate convective modelling procedurethird-order's error in timethird-order's spatial truncation


Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Free convection (76R10)


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I: Computation of flow around rectangular cylinders. II: Aerodynamic characteristics of a rectangular cylinder with an angle of attack, Second-moment closure for three-dimensional turbulent flow around and within complex geometries, Computer evaluation of high order numerical schemes to solve advective transport problems, Simulation of two generalised Newtonian fluids flow in micropore with dead end, Unnamed Item, Unsteady RANS modelling of wake--blade interaction: computational requirements and limitations, A numerical study of vortex shedding from rectangles, Cyclic flame propagation in premixed combustion, Impact of a discretisation method and chemical kinetics on the accuracy of simulation of a lifted hydrogen flame, DREAM: a fluid-kinetic framework for tokamak disruption runaway electron simulations, Numerical study of electro-convection between annular electrodes based on a dissociation-injection mechanism, A novel steepness-adjustable harmonic volume-of-fluid method for interface capturing, An efficient matrix factorization within the projection framework for ameliorating the surface tension time step constraint in interfacial flows, Nodal integral method to solve the two-dimensional, time-dependent, incompressible Navier-Stokes equations in curvilinear coordinates, Conservative formulations for heat transfer simulation with sharp interfaces and discontinuous properties in two-phase flows, A TensorFlow simulation framework for scientific computing of fluid flows on tensor processing units, An efficient quadratic interpolation scheme for a third-order cell-centered finite-volume method on tetrahedral grids, Quadratic upwind differencing scheme in the finite volume method for solving the convection-diffusion equation, Unnamed Item, Unnamed Item, A comparison of second order convection discretization schemes for incompressible fluid flow, Stability of explicit advection schemes. The balance point location rule, An analysis and comparison of the time accuracy of fractional-step methods for the Navier-Stokes equations on staggered grids, High-order upwinding and the hydraulic jump, A MATHEMATICAL MODEL FOR SIMULATING THE BIOGEOCHEMICAL PROCESSES IN A FRESHWATER LAKE, A DEPTH-INTEGRATED 2D COASTAL AND ESTUARINE MODEL WITH CONFORMAL BOUNDARY-FITTED MESH GENERATION, Influence of a magnetic field on liquid metal free convection in an internally heated cubic enclosure, A combination of implicit and adaptative upwind tools for the numerical solution of incompressible free surface flows, Unnamed Item, OVERLAPPING CONTROL VOLUME APPROACH FOR CONVECTION-DIFFUSION PROBLEMS, ACCURATE NUMERICAL SIMULATION OF ADVECTION USING LARGE TIME STEPS, Unnamed Item, AN IMPROVED NAVIER-STOKES PROCEDURE FOR ANALYSIS OF TWO-DIMENSIONAL AEROFOILS IN LAMINAR AND TURBULENT FLOWS, Unnamed Item, A high resolution NV/TVD Hermite polynomial upwind scheme for convection‐dominated problems, Analysis and flamelet modelling for spray combustion, Unnamed Item, A dynamic global-coefficient subgrid-scale model for large-eddy simulation of turbulent scalar transport in complex geometries, Buoyant formation number of a starting buoyant jet, A high-order moment approach for capturing non-equilibrium phenomena in the transition regime, Modelling effects of subgrid-scale mixture fraction variance in LES of a piloted diffusion flame, Unnamed Item, An insulating plate drifting over a thermally convecting fluid: the thermal blanket effect on plume motion and the emergence of a unidirectionally moving mode, Dual-Mesh Characteristics for Particle-Mesh Methods for the Simulation of Convection-Dominated Flows, DISPERSAL OF HYDROGEN IN THE RETINA—A THREE-LAYER MODEL, Turbulent natural convection in a sidewall‐heated cavity using a two‐equation model of temperature, Convective discretization schemes for the turbulence transport equations in flow predictions through sharp u‐bends, A locally modified second order upwind scheme for convection terms discretization, A multiscale computational framework using active learning to model complex suspension flows, Data-driven spectral turbulence modelling for Rayleigh–Bénard convection, Numerical study of convective sedimentation through a sharp density interface, Numerical study of double-diffusive sedimentation in thermally stratified fluid, The nirvana scheme applied to one‐dimensional advection, Local versus volume-integrated turbulence and mixing in breaking internal waves on slopes, An accurate numerical algorithm for advective transport, MODELLING HYDROGEN CLEARANCE FROM THE RETINA, Modelling dump combustor flows with and without swirl at the inlet using Reynolds stress models, Motion of an inertial squirmer in a density stratified fluid, A numerical model of the hydrodynamics of the thermal bar, Large-Eddy Simulations of Forced Three-Dimensional Impinging Jets, Three-Dimensional Vortex Dynamics in a Shear-Driven Rectangular Cavity, Explicit algebraic stress modelling of homogeneous and inhomogeneous flows, A new finite variable difference method with application to nonlinear Burgers' equation, On a higher-order bounded discretization scheme, PREDICTION OF UNSTEADY STATES IN LID-DRIVEN CAVITIES FILLED WITH AN INCOMPRESSIBLE VISCOUS FLUID, On False Accuracy Verification of UMUSCL Scheme, Low-Reynolds number modelling of flows with transpiration, Influence of Geometry and Heat Release on Counterflow Diffusion Flames: A Navier-Stokes Model, Refinement of the convective boundedness criterion of Gaskell and Lau, Resonance of the thermal boundary layer adjacent to an isothermally heated vertical surface, Improved upwind discretization of the advection equation, HEGDE'S INTERFACE NUMERICAL TECHNIQUE FOR RESOLVING QUASI-ONE-DIMENSIONAL NOZZLE FLOWS, The dynamics of an insulating plate over a thermally convecting fluid and its implication for continent movement over convective mantle, A fourth-order-accurate finite volume compact method for the incompressible Navier-Stokes solutions, Combining least-squares and gradient-based algorithms for the identification of a co-current flow heat exchanger, A new fully coupled method for computing turbulent flows, A front-tracking method for the computations of multiphase flow., Evolution to aperiodic penetrative convection in odd shaped rectangular enclosures, A new approach to design high-order schemes, An assessment of turbulence models applied to the simulation of a two-dimensional submerged jet, Numerical study of turbulent diesel flow in a pipe with sudden expansion, Dispersion in two-dimensional periodic porous media. Part I. Hydrodynamics, Adjoints of nonoscillatory advection schemes, A conservative finite difference method and its application for the analysis of a transient flow around a square prism, Numerical stability of unsteady stream-function vorticity calculations, Simple and accurate scheme for nonlinear convection-diffusion equation, Unsteady laminar flow between a pair of disks corotating in a fixed cylindrical enclosure, Numerical investigation of bifurcation phenomena occurring in flows through planar sudden expansions, Numerical study of nonlinear shallow water waves produced by a submerged moving disturbance in viscous flow, Vortical structures and heat transfer in a round impinging jet, Formation of drops and rings in double-diffusive sedimentation, Settling disks in a linearly stratified fluid, Formulation and experiments with high‐order compact schemes for nonuniform grids, A comparison study on fin surfaces in finned‐tube heat exchangers, Three‐dimensional simulation of natural convection in cavities with side opening, 3D numerical investigation of turbulent forced convection in wavy ducts with trapezoidal cross‐section, Unnamed Item, A New TVD Scheme for Gradient Smoothing Method Using Unstructured Grids, A PDF description of turbulent plane couette flow, Turbulence kinetic energy exchanges in flows with highly variable fluid properties, Advective balance in pipe-formed vortex rings, On the Three-dimensional Study of Flows over a Fence in a Duct, Computational Modelling of a Transitional 3D Turbine-cascade Flow using a Modified Low-Re k — ε Model and a Multi-block Scheme, Stabilization mechanism of turbulent premixed flames in strongly swirled flows, Eulerian transported probability density function sub-filter model for large-eddy simulations of turbulent combustion, COMPUTATION OF DILUTE PARTICULATE LAMINAR FLOW OVER A BACKWARD-FACING STEP, Моделирование влияния сдвига ветра на снижение лобового сопротивления энергоэффективного высотного сооружения с использованием дросселирующего эффекта, Unnamed Item, Unnamed Item, Numerical modelling of mass transfer in slits with semi‐permeable membrane walls, Sample dispersion in isotachophoresis with Poiseuille counterflow, A finite volume method for the solution of convection—diffusion 2d problems by a quadratic profile with smoothing, FAST — A GENERALIZED FV SOLUTION OF CONVECTION‐DIFFUSION PROBLEMS BY MEANS OF MONOTONIC v‐SPLINES PROFILES, Multi‐dimensional monotone flux discretization scheme for convection dominated flows, Finite-size evaporating droplets in weakly compressible homogeneous shear turbulence, General Template Units for the Finite Volume Method in Box-Shaped Domains, Computationally inexpensive and revised normalized weighting factor method for segregated solvers


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