Simple and robust HLLC extensions of two-fluid AUSM for multiphase flow computations

Keiichi Kitamura; Taku Nonomura

doi:10.1016/j.compfluid.2014.05.019

Simple and robust HLLC extensions of two-fluid AUSM for multiphase flow computations

Keiichi Kitamura, Taku Nonomura

ENG - Aerospace Engineering

Yokohama National University

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

17 Citations (Scopus)

Abstract

A two-fluid AUSM⁺-up numerical flux function with the exact (Godunov) Riemann solver for the stratified flow model concept by Chang et al. (2007) has been extended for simple and robust computations of compressible multiphase flows. The present method replaces the Godunov part with the HLLC approximate Riemann solver with no-iteration procedure in a very simple manner: This two-fluid HLLC has been inspired by the work by Hu et al. (2009), but used in a totally different way. Numerical tests demonstrate that the present two-fluid AUSM⁺-up is, if only velocity and pressure in the middle zone are computed by HLLC, as robust as the original, Godunov-combined AUSM⁺-up, despite being free from iterations and convergence criteria.

Original language	English
Pages (from-to)	321-335
Number of pages	15
Journal	Computers and Fluids
Volume	100
DOIs	https://doi.org/10.1016/j.compfluid.2014.05.019
Publication status	Published - 2014 Sept 1

Keywords

AUSM-family
HLLC
Multiphase flow
Stratified flow
Two-fluid modeling

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10.1016/j.compfluid.2014.05.019

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title = "Simple and robust HLLC extensions of two-fluid AUSM for multiphase flow computations",

abstract = "A two-fluid AUSM+-up numerical flux function with the exact (Godunov) Riemann solver for the stratified flow model concept by Chang et al. (2007) has been extended for simple and robust computations of compressible multiphase flows. The present method replaces the Godunov part with the HLLC approximate Riemann solver with no-iteration procedure in a very simple manner: This two-fluid HLLC has been inspired by the work by Hu et al. (2009), but used in a totally different way. Numerical tests demonstrate that the present two-fluid AUSM+-up is, if only velocity and pressure in the middle zone are computed by HLLC, as robust as the original, Godunov-combined AUSM+-up, despite being free from iterations and convergence criteria.",

keywords = "AUSM-family, HLLC, Multiphase flow, Stratified flow, Two-fluid modeling",

author = "Keiichi Kitamura and Taku Nonomura",

note = "Funding Information: This work was partially supported by Japan Society for the Promotion of Science (JSPS) KAKENHI Grant Numbers 25820409 and 24656522 . K. Kitamura (first author) is grateful to Dr. Meng-Sing Liou at NASA Glenn Research Center, Cleveland, and Dr. Chih-Hao Chang at Center for Risk Studies and Safety, University of California, Santa Barbara (currently at Theofanous & Co Inc. Santa Barbara), for their continuous cooperation and valuable comments received since he was working with them at NASA Glenn as a Visiting Researcher from 2011 to 2012 as JSPS Research Fellow.",

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doi = "10.1016/j.compfluid.2014.05.019",

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AU - Nonomura, Taku

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N2 - A two-fluid AUSM+-up numerical flux function with the exact (Godunov) Riemann solver for the stratified flow model concept by Chang et al. (2007) has been extended for simple and robust computations of compressible multiphase flows. The present method replaces the Godunov part with the HLLC approximate Riemann solver with no-iteration procedure in a very simple manner: This two-fluid HLLC has been inspired by the work by Hu et al. (2009), but used in a totally different way. Numerical tests demonstrate that the present two-fluid AUSM+-up is, if only velocity and pressure in the middle zone are computed by HLLC, as robust as the original, Godunov-combined AUSM+-up, despite being free from iterations and convergence criteria.

AB - A two-fluid AUSM+-up numerical flux function with the exact (Godunov) Riemann solver for the stratified flow model concept by Chang et al. (2007) has been extended for simple and robust computations of compressible multiphase flows. The present method replaces the Godunov part with the HLLC approximate Riemann solver with no-iteration procedure in a very simple manner: This two-fluid HLLC has been inspired by the work by Hu et al. (2009), but used in a totally different way. Numerical tests demonstrate that the present two-fluid AUSM+-up is, if only velocity and pressure in the middle zone are computed by HLLC, as robust as the original, Godunov-combined AUSM+-up, despite being free from iterations and convergence criteria.

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KW - Stratified flow

KW - Two-fluid modeling

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Simple and robust HLLC extensions of two-fluid AUSM for multiphase flow computations

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Keywords

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