An AUSM-based third-order compact scheme for solving Euler equations

An AUSM-based third-order compact scheme for solving Euler equations

In this paper, a third-order compact upwind scheme is given for calculating flows containing discontinuities. The scheme utilizes the AUSM flux splitting method and a third-order compact upwind space discretization relation for calculating third-order numerical flux function. TVD shock capturing p...

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Main Authors: Mohamad, Mahmod Abd Hakim, Basri, ShahNor, Abd. Rahim, Irfan, Mohamad, Musli
Format: Conference or Workshop Item
Language:English
Published: Federation of Engineering Institutions of Islamic Countries 2006
Online Access:http://psasir.upm.edu.my/id/eprint/39611/
http://psasir.upm.edu.my/id/eprint/39611/1/39611.pdf
id upm-39611
recordtype eprints
spelling upm-396112015-08-21T02:04:23Z http://psasir.upm.edu.my/id/eprint/39611/ An AUSM-based third-order compact scheme for solving Euler equations Mohamad, Mahmod Abd Hakim Basri, ShahNor Abd. Rahim, Irfan Mohamad, Musli In this paper, a third-order compact upwind scheme is given for calculating flows containing discontinuities. The scheme utilizes the AUSM flux splitting method and a third-order compact upwind space discretization relation for calculating third-order numerical flux function. TVD shock capturing properties of the scheme are achieved through a minmod flux limiter. A multistage TVD Runge-Kutta method is employed for the time integration. Computations are performed for two typical one-dimensional problems containing shocks, namely, the steady flow in a divergent nozzle and the unsteady shock tube problem. First-order and third-order numerical results are presented in comparison with the exact solutions. Computed results with KFVS method are also presented. Federation of Engineering Institutions of Islamic Countries 2006 Conference or Workshop Item NonPeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/39611/1/39611.pdf Mohamad, Mahmod Abd Hakim and Basri, ShahNor and Abd. Rahim, Irfan and Mohamad, Musli (2006) An AUSM-based third-order compact scheme for solving Euler equations. In: Seminar on Engineering and Technology (SET2006) , 4-5 Sept. 2006, Putrajaya, Malaysia. (pp. 229-240).
repository_type Digital Repository
institution_category Local University
institution Universiti Putra Malaysia
building UPM Institutional Repository
collection Online Access
language English
description In this paper, a third-order compact upwind scheme is given for calculating flows containing discontinuities. The scheme utilizes the AUSM flux splitting method and a third-order compact upwind space discretization relation for calculating third-order numerical flux function. TVD shock capturing properties of the scheme are achieved through a minmod flux limiter. A multistage TVD Runge-Kutta method is employed for the time integration. Computations are performed for two typical one-dimensional problems containing shocks, namely, the steady flow in a divergent nozzle and the unsteady shock tube problem. First-order and third-order numerical results are presented in comparison with the exact solutions. Computed results with KFVS method are also presented.
format Conference or Workshop Item
author Mohamad, Mahmod Abd Hakim
Basri, ShahNor
Abd. Rahim, Irfan
Mohamad, Musli
spellingShingle Mohamad, Mahmod Abd Hakim
Basri, ShahNor
Abd. Rahim, Irfan
Mohamad, Musli
An AUSM-based third-order compact scheme for solving Euler equations
author_facet Mohamad, Mahmod Abd Hakim
Basri, ShahNor
Abd. Rahim, Irfan
Mohamad, Musli
author_sort Mohamad, Mahmod Abd Hakim
title An AUSM-based third-order compact scheme for solving Euler equations
title_short An AUSM-based third-order compact scheme for solving Euler equations
title_full An AUSM-based third-order compact scheme for solving Euler equations
title_fullStr An AUSM-based third-order compact scheme for solving Euler equations
title_full_unstemmed An AUSM-based third-order compact scheme for solving Euler equations
title_sort ausm-based third-order compact scheme for solving euler equations
publisher Federation of Engineering Institutions of Islamic Countries
publishDate 2006
url http://psasir.upm.edu.my/id/eprint/39611/
http://psasir.upm.edu.my/id/eprint/39611/1/39611.pdf
first_indexed 2018-09-07T16:53:11Z
last_indexed 2018-09-07T16:53:11Z
_version_ 1610968403950960640

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