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

^*Corresponding author for this work

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

8 Citations (Scopus)

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
Publication status	Published - Oct 2003

Keywords

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

ASJC Scopus subject areas

Applied Mathematics

Access to Document

10.1016/S0893-9659(03)90104-2

Cite this

@article{4d4d3c0bf11c4c47aba52af7f8055df5,

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",

year = "2003",

month = oct,

doi = "10.1016/S0893-9659(03)90104-2",

language = "English",

volume = "16",

pages = "1123--1127",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Ltd",

number = "7",

}

TY - JOUR

T1 - Uniformly Accurate Schemes for Relaxation Approximations to Fluid Dynamic Equations

AU - Klar, A.

AU - Pareschi, L.

AU - Seaid, M.

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

UR - https://www.scopus.com/pages/publications/0242333283

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

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this