A fast, high resolution, second-order central scheme for incompressible flows

DOI10.1073/pnas.94.10.4848zbMath0875.76386OpenAlexW2060243540WikidataQ36762057 ScholiaQ36762057MaRDI QIDQ4342533

Raz Kupferman, Eitan Tadmor

Publication date: 26 October 1997

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.94.10.4848

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20)

Related Items (14)

Selected Topics in Approximate Solutions of Nonlinear Conservation Laws. High-Resolution Central Schemes ⋮ A high order WENO finite difference scheme for incompressible fluids and magnetohydrodynamics ⋮ Three-phase immiscible displacement in heterogeneous petroleum reservoirs ⋮ A mass conservative, well balanced and positivity-preserving central scheme for shallow water equations ⋮ A note on the use of central schemes for incompressible Navier-Stokes flows. ⋮ Uniformly accurate schemes for relaxation approximations to fluid dynamic equations ⋮ New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations ⋮ On spurious vortical structures. ⋮ A non-oscillatory balanced scheme for an idealized tropical climate model. I: Algorithm and validation ⋮ Lattice-Boltzmann type relaxation systems and high order relaxation schemes for the incompressible Navier-Stokes equations ⋮ A central scheme for advecting scalars by velocity fields obtained from finite volume multiphase incompressible solvers ⋮ On the Numerical Simulation of Three‐Phase Reservoir Transport Problems ⋮ Simulation of viscoelastic fluids: Couette-Taylor flow ⋮ Kinetic-based numerical schemes for incompressible Navier-Stokes equations

Cites Work

• The piecewise parabolic method (PPM) for gas-dynamical simulations
• Non-oscillatory central differencing for hyperbolic conservation laws
• High resolution schemes for hyperbolic conservation laws
• Approximate Riemann solvers, parameter vectors, and difference schemes
• High resolution staggered mesh approach for nonlinear hyperbolic systems of conservation laws
• Random choice methods with applications to reacting gas flow
• Local smoothing estimates related to the circular maximal theorem
• A second-order projection method for the incompressible Navier-Stokes equations
• Performance of under-resolved two-dimensional incompressible flow simulations
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Riemann Solvers, the Entropy Condition, and Difference
• Nonoscillatory High Order Accurate Self-Similar Maximum Principle Satisfying Shock Capturing Schemes I
• Weak solutions of nonlinear hyperbolic equations and their numerical computation

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