Uniformly Accurate Schemes for Relaxation Approximations to Fluid Dynamic Equations

A. Klar; L. Pareschi; M. Seaid

doi:10.1016/S0893-9659(03)90104-2

Uniformly Accurate Schemes for Relaxation Approximations to Fluid Dynamic Equations

A. Klar, L. Pareschi, M. Seaid

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

A relaxation system for the incompressible and compressible Euler and Navier-Stokes equations is considered. A numerical scheme working uniformly in the above limits is constructed using higher-order nonoscillatory upwind discretizations and higher-order implicit-explicit time discretization. Numerical results are presented for several test cases.

Original language	English
Pages (from-to)	1123-1127
Number of pages	5
Journal	Applied Mathematics Letters
Volume	16
Issue number	7
DOIs	https://doi.org/10.1016/S0893-9659(03)90104-2
State	Published - Oct 2003
Externally published	Yes

Keywords

Asymptotic analysis
Fluid dynamic equations
Higher-order upwind schemes
Projection scheme
Relaxation methods

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10.1016/S0893-9659(03)90104-2

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title = "Uniformly Accurate Schemes for Relaxation Approximations to Fluid Dynamic Equations",

abstract = "A relaxation system for the incompressible and compressible Euler and Navier-Stokes equations is considered. A numerical scheme working uniformly in the above limits is constructed using higher-order nonoscillatory upwind discretizations and higher-order implicit-explicit time discretization. Numerical results are presented for several test cases.",

keywords = "Asymptotic analysis, Fluid dynamic equations, Higher-order upwind schemes, Projection scheme, Relaxation methods",

author = "A. Klar and L. Pareschi and M. Seaid",

note = "Funding Information: This work was supported by DFG Grant KL 1105/g.",

year = "2003",

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AU - Klar, A.

AU - Pareschi, L.

AU - Seaid, M.

N1 - Funding Information: This work was supported by DFG Grant KL 1105/g.

PY - 2003/10

Y1 - 2003/10

N2 - A relaxation system for the incompressible and compressible Euler and Navier-Stokes equations is considered. A numerical scheme working uniformly in the above limits is constructed using higher-order nonoscillatory upwind discretizations and higher-order implicit-explicit time discretization. Numerical results are presented for several test cases.

AB - A relaxation system for the incompressible and compressible Euler and Navier-Stokes equations is considered. A numerical scheme working uniformly in the above limits is constructed using higher-order nonoscillatory upwind discretizations and higher-order implicit-explicit time discretization. Numerical results are presented for several test cases.

KW - Asymptotic analysis

KW - Fluid dynamic equations

KW - Higher-order upwind schemes

KW - Projection scheme

KW - Relaxation methods

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U2 - 10.1016/S0893-9659(03)90104-2

DO - 10.1016/S0893-9659(03)90104-2

M3 - Article

AN - SCOPUS:0242333283

SN - 0893-9659

VL - 16

SP - 1123

EP - 1127

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 7

ER -

Uniformly Accurate Schemes for Relaxation Approximations to Fluid Dynamic Equations

Abstract

Keywords

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