A new genuinely two-dimensional Riemann solver for multidimensional Euler and Navier–Stokes Equations

Feng Qu; Di Sun; Junqiang Bai

doi:10.1016/j.cpc.2019.05.011

A new genuinely two-dimensional Riemann solver for multidimensional Euler and Navier–Stokes Equations

Feng Qu, Di Sun, Junqiang Bai

School of Aeronautics

Northwestern Polytechnical University Xian

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

16 Scopus citations

Abstract

A novel two-dimensional flux splitting Riemann solver called ME-AUSMPW (Multi-dimension E-AUSMPW) is proposed. By borrowing the Balsara's idea, it is built upon the Zha–Bilgen splitting procedure and considers both the waves orthogonal to the cell interfaces and the waves transverse to the cell interfaces. Systematic numerical cases, including the one dimensional Sod shock tube case, the double Mach reflection of a strong shock case, the two-dimensional Riemann problem, the hypersonic viscous flows over the two-dimensional Double-ellipsoid case, and the shock wave/laminar boundary layer interaction problem, are carried out. Results show that the ME-AUSMPW scheme proposed in this manuscript is with a higher resolution than conventional one-dimension Riemann solvers in simulating not only inviscid complex flows, but also viscous flows. Therefore, it is promising to be widely used in both scholar and engineering areas.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Computer Physics Communications
Volume	243
DOIs	https://doi.org/10.1016/j.cpc.2019.05.011
State	Published - Oct 2019

Keywords

E-AUSMPW
Euler equations
Flux splitting
Riemann solver
Two-dimensional

Access to Document

10.1016/j.cpc.2019.05.011

Cite this

@article{050d1ca5ca2946e3ae0a596eafb41df9,

title = "A new genuinely two-dimensional Riemann solver for multidimensional Euler and Navier–Stokes Equations",

abstract = "A novel two-dimensional flux splitting Riemann solver called ME-AUSMPW (Multi-dimension E-AUSMPW) is proposed. By borrowing the Balsara's idea, it is built upon the Zha–Bilgen splitting procedure and considers both the waves orthogonal to the cell interfaces and the waves transverse to the cell interfaces. Systematic numerical cases, including the one dimensional Sod shock tube case, the double Mach reflection of a strong shock case, the two-dimensional Riemann problem, the hypersonic viscous flows over the two-dimensional Double-ellipsoid case, and the shock wave/laminar boundary layer interaction problem, are carried out. Results show that the ME-AUSMPW scheme proposed in this manuscript is with a higher resolution than conventional one-dimension Riemann solvers in simulating not only inviscid complex flows, but also viscous flows. Therefore, it is promising to be widely used in both scholar and engineering areas.",

keywords = "E-AUSMPW, Euler equations, Flux splitting, Riemann solver, Two-dimensional",

author = "Feng Qu and Di Sun and Junqiang Bai",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier B.V.",

year = "2019",

month = oct,

doi = "10.1016/j.cpc.2019.05.011",

language = "英语",

volume = "243",

pages = "1--11",

journal = "Computer Physics Communications",

issn = "0010-4655",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - A new genuinely two-dimensional Riemann solver for multidimensional Euler and Navier–Stokes Equations

AU - Qu, Feng

AU - Sun, Di

AU - Bai, Junqiang

PY - 2019/10

Y1 - 2019/10

N2 - A novel two-dimensional flux splitting Riemann solver called ME-AUSMPW (Multi-dimension E-AUSMPW) is proposed. By borrowing the Balsara's idea, it is built upon the Zha–Bilgen splitting procedure and considers both the waves orthogonal to the cell interfaces and the waves transverse to the cell interfaces. Systematic numerical cases, including the one dimensional Sod shock tube case, the double Mach reflection of a strong shock case, the two-dimensional Riemann problem, the hypersonic viscous flows over the two-dimensional Double-ellipsoid case, and the shock wave/laminar boundary layer interaction problem, are carried out. Results show that the ME-AUSMPW scheme proposed in this manuscript is with a higher resolution than conventional one-dimension Riemann solvers in simulating not only inviscid complex flows, but also viscous flows. Therefore, it is promising to be widely used in both scholar and engineering areas.

AB - A novel two-dimensional flux splitting Riemann solver called ME-AUSMPW (Multi-dimension E-AUSMPW) is proposed. By borrowing the Balsara's idea, it is built upon the Zha–Bilgen splitting procedure and considers both the waves orthogonal to the cell interfaces and the waves transverse to the cell interfaces. Systematic numerical cases, including the one dimensional Sod shock tube case, the double Mach reflection of a strong shock case, the two-dimensional Riemann problem, the hypersonic viscous flows over the two-dimensional Double-ellipsoid case, and the shock wave/laminar boundary layer interaction problem, are carried out. Results show that the ME-AUSMPW scheme proposed in this manuscript is with a higher resolution than conventional one-dimension Riemann solvers in simulating not only inviscid complex flows, but also viscous flows. Therefore, it is promising to be widely used in both scholar and engineering areas.

KW - E-AUSMPW

KW - Euler equations

KW - Flux splitting

KW - Riemann solver

KW - Two-dimensional

UR - http://www.scopus.com/inward/record.url?scp=85066404202&partnerID=8YFLogxK

U2 - 10.1016/j.cpc.2019.05.011

DO - 10.1016/j.cpc.2019.05.011

M3 - 文章

AN - SCOPUS:85066404202

SN - 0010-4655

VL - 243

SP - 1

EP - 11

JO - Computer Physics Communications

JF - Computer Physics Communications

ER -

A new genuinely two-dimensional Riemann solver for multidimensional Euler and Navier–Stokes Equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this