Uniformly accurate schemes for relaxation approximations to fluid dynamic equations

DOI10.1016/S0893-9659(03)90104-2zbMath1040.76047MaRDI QIDQ1431990

Lorenzo Pareschi, Mohammed Seaid, Axel Klar

Publication date: 11 June 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

projection schemeasymptotic analysishigher-order upwind schemes

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Incompressible inviscid fluids (76B99)

Related Items (5)

Compressible and incompressible limits for hyperbolic systems with relaxation ⋮ Stable numerical methods for conservation laws with discontinuous flux function ⋮ Discrete-velocity relaxation methods for large eddy simulation ⋮ Nonlinear Hyperbolic Systems of Conservation Laws and Related Applications ⋮ Asymptotic-preserving schemes for unsteady flow simulations

Cites Work

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• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
• A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations
• Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations
• An Asymptotic Preserving Numerical Scheme for Kinetic Equations in the Low Mach Number Limit
• A fast, high resolution, second-order central scheme for incompressible flows
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions
• Regularization of the Burnett equations via relaxation

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