A TWO-DIMENSIONAL VERSION OF THE GODUNOV SCHEME FOR SCALAR BALANCE LAWS
A Godunov scheme is derived for two-dimensional scalar conservation laws without or with source terms following ideas originally proposed by Boukadida and LeRoux [Math. Comput., 63 (1994), pp. 541–553] in the context of a staggered Lax–Friedrichs scheme. In both situations, the numerical fluxes are...
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| Vydáno v: | SIAM journal on numerical analysis Ročník 52; číslo 2; s. 626 - 652 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Philadelphia
Society for Industrial and Applied Mathematics
01.01.2014
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| ISSN: | 0036-1429, 1095-7170 |
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| Abstract | A Godunov scheme is derived for two-dimensional scalar conservation laws without or with source terms following ideas originally proposed by Boukadida and LeRoux [Math. Comput., 63 (1994), pp. 541–553] in the context of a staggered Lax–Friedrichs scheme. In both situations, the numerical fluxes are obtained at each interface of a uniform Cartesian computational grid just by means of the "external waves" involved in the entropy solution of the elementary two-dimensional (2D) Riemann problems; in particular, all the wave-interaction phenomena are overlooked. This restriction of the wave pattern suffices for deriving the exact numerical fluxes of the staggered Lax–Friedrichs scheme, but it furnishes only an approximation for the Godunov scheme: we show that under convenient assumptions, these flux functions are smooth and the resulting discretization process is stable under nearly optimal CFL restriction. A well-balanced extension is presented, relying on the Curl-free component of the Helmholtz decomposition of the source term. Several numerical tests against exact 2D solutions are performed for convex, nonconvex, and inhomogeneous equations and the time-evolution of the L1 truncation error is displayed. |
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| AbstractList | A Godunov scheme is derived for two-dimensional scalar conservation laws without or with source terms following ideas originally proposed by Boukadida and LeRoux [Math. Comput., 63 (1994), pp. 541--553] in the context of a staggered Lax--Friedrichs scheme. In both situations, the numerical fluxes are obtained at each interface of a uniform Cartesian computational grid just by means of the "external waves" involved in the entropy solution of the elementary two-dimensional (2D) Riemann problems; in particular, all the wave-interaction phenomena are overlooked. This restriction of the wave pattern suffices for deriving the exact numerical fluxes of the staggered Lax--Friedrichs scheme, but it furnishes only an approximation for the Godunov scheme: we show that under convenient assumptions, these flux functions are smooth and the resulting discretization process is stable under nearly optimal CFL restriction. A well-balanced extension is presented, relying on the Curl-free component of the Helmholtz decomposition of the source term. Several numerical tests against exact 2D solutions are performed for convex, nonconvex, and inhomogeneous equations and the time-evolution of the $L^1$ truncation error is displayed. [PUBLICATION ABSTRACT] A Godunov scheme is derived for two-dimensional scalar conservation laws without or with source terms following ideas originally proposed by Boukadida and LeRoux [Math. Comput., 63 (1994), pp. 541–553] in the context of a staggered Lax–Friedrichs scheme. In both situations, the numerical fluxes are obtained at each interface of a uniform Cartesian computational grid just by means of the "external waves" involved in the entropy solution of the elementary two-dimensional (2D) Riemann problems; in particular, all the wave-interaction phenomena are overlooked. This restriction of the wave pattern suffices for deriving the exact numerical fluxes of the staggered Lax–Friedrichs scheme, but it furnishes only an approximation for the Godunov scheme: we show that under convenient assumptions, these flux functions are smooth and the resulting discretization process is stable under nearly optimal CFL restriction. A well-balanced extension is presented, relying on the Curl-free component of the Helmholtz decomposition of the source term. Several numerical tests against exact 2D solutions are performed for convex, nonconvex, and inhomogeneous equations and the time-evolution of the L1 truncation error is displayed. A Godunov scheme is derived for two-dimensional scalar conservation laws without or with source terms following ideas originally proposed by Boukadida and LeRoux \cite{blr} in the context of a staggered Lax-Friedrichs scheme. In both situations, the numerical fluxes are obtained at each interface of a uniform Cartesian computational grid just by means of the ''external waves'' involved in the entropy solution of the elementary 2d Riemann problems; in particular, all the wave-interaction phenomena is overlooked. This restriction of the wave pattern suffices for deriving the exact numerical fluxes of the staggered LxF scheme, but it furnishes only an approximation for the Godunov scheme: we show that under convenient assumptions, these flux functions are smooth and the resulting discretization process is stable under nearly-optimal CFL restriction. A well-balanced extension is presented, relying on the Curl-free component of the Helmholtz decomposition of the source term. Several numerical tests against exact 2D solutions are performed for convex, non-convex and inhomogeneous equations and the time evolution of the $L^1$ truncation error is displayed. |
| Author | GOSSE, LAURENT |
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| Keywords | Kruzkov entropy solution Well-Balanced 2D Godunov scheme External wave Helmholtz decomposition and Curl-free field Approximate 2D Riemann solver |
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| References | atypb9 Kružkov S. N. (atypb39) 1970; 81 Colombo R. M. (atypb15) 2012 atypb48 atypb49 LeVeque R. J. (atypb45) 1990 Goodman J. B. (atypb26) 1985; 45 atypb44 atypb46 atypb47 atypb40 atypb41 atypb42 atypb43 Gilquin H. (atypb23) 1996; 30 Li J. (atypb50) 2009; 29 Mishra S. (atypb56) 2010; 9 Arnold D. N. (atypb4) 1988; 15 atypb59 atypb16 atypb17 atypb18 atypb55 atypb12 atypb14 atypb1 atypb52 atypb3 atypb2 atypb10 atypb54 atypb5 Ben-Artzi M. (atypb8) 2006; 14 atypb7 atypb6 Gilquin H. (atypb22) 1986; 20 atypb19 atypb27 atypb29 atypb66 atypb67 atypb24 atypb68 atypb69 atypb62 atypb63 atypb64 atypb21 atypb65 Cheng J. (atypb13) 2009; 26 atypb60 atypb61 Klingenberg Ch. (atypb38) 1989 Godunov S. K. (atypb25) 1959; 47 Liu T. P. (atypb53) 1999 atypb37 atypb34 atypb35 Mitrea D. (atypb57) 2005; 18 atypb36 atypb30 atypb31 |
| References_xml | – ident: atypb52 doi: 10.1016/S0022-247X(02)00315-3 – volume: 47 start-page: 271 year: 1959 ident: atypb25 publication-title: Mat. Sb. – ident: atypb65 doi: 10.1142/S0219891605000592 – ident: atypb55 doi: 10.1007/s10492-006-0012-z – volume: 9 start-page: 688 year: 2010 ident: atypb56 publication-title: Commun. Comput. Phys. doi: 10.4208/cicp.030909.091109s – ident: atypb36 doi: 10.1137/S106482759631041X – ident: atypb19 doi: 10.1007/s00205-003-0270-9 – ident: atypb46 doi: 10.1137/0733033 – ident: atypb41 doi: 10.1016/0022-247X(91)90292-8 – ident: atypb42 doi: 10.1006/jcph.2000.6606 – ident: atypb1 doi: 10.1016/j.compfluid.2005.01.007 – start-page: 238 year: 1999 ident: atypb53 publication-title: Contemp. Math. – ident: atypb12 doi: 10.1006/jdeq.1996.0065 – volume: 14 start-page: 401 year: 2006 ident: atypb8 publication-title: Comput. Fluid Dyn. J. – ident: atypb5 doi: 10.1016/j.jcp.2009.11.018 – volume: 26 start-page: 633 year: 2009 ident: atypb13 publication-title: Chinese J. Comput. Phys. – volume: 30 start-page: 527 year: 1996 ident: atypb23 publication-title: RAIRO Model. Math. Anal. Numer. doi: 10.1051/m2an/1996300505271 – ident: atypb3 doi: 10.1016/j.jde.2013.04.016 – ident: atypb43 doi: 10.1137/S1064827595291819 – start-page: 289 year: 1989 ident: atypb38 publication-title: New York – ident: atypb29 doi: 10.1016/j.jcp.2010.11.043 – ident: atypb30 doi: 10.1016/j.jcp.2004.11.006 – ident: atypb66 doi: 10.1137/0514045 – ident: atypb67 doi: 10.1016/S0898-1221(99)00296-5 – ident: atypb44 doi: 10.1137/S0036141098341794 – volume: 20 start-page: 429 year: 1986 ident: atypb22 publication-title: RAIRO Model. Math. Anal. Numer. doi: 10.1051/m2an/1986200304291 – ident: atypb37 doi: 10.4310/CMS.2007.v5.n2.a2 – ident: atypb48 doi: 10.1016/0196-8858(83)90015-5 – ident: atypb18 doi: 10.1016/0021-9991(84)90084-6 – ident: atypb69 doi: 10.1006/jdeq.1998.3526 – ident: atypb54 doi: 10.1137/0722064 – start-page: 204 year: 1990 ident: atypb45 publication-title: Basel – ident: atypb16 doi: 10.1090/S0025-5718-1980-0551288-3 – ident: atypb17 doi: 10.1007/BF01396704 – ident: atypb27 doi: 10.1016/S0898-1221(00)00093-6 – ident: atypb62 doi: 10.1137/S1064827594272785 – ident: atypb24 doi: 10.1016/0196-8858(85)90014-4 – ident: atypb2 doi: 10.1023/A:1007688522777 – ident: atypb21 doi: 10.1090/S0025-5718-06-01863-1 – ident: atypb14 doi: 10.1016/0021-9991(90)90233-Q – ident: atypb49 doi: 10.3934/dcds.2003.9.559 – volume: 18 start-page: 1039 year: 2005 ident: atypb57 publication-title: Differential Integral Equations doi: 10.57262/die/1356060121 – ident: atypb31 doi: 10.1007/BF00251604 – ident: atypb34 doi: 10.1090/S0025-5718-1993-1153165-5 – ident: atypb68 doi: 10.4134/BKMS.2008.45.1.191 – volume: 45 start-page: 15 year: 1985 ident: atypb26 publication-title: Math. Comput. doi: 10.1090/S0025-5718-1985-0790641-4 – volume: 29 start-page: 777 year: 2009 ident: atypb50 publication-title: Acta Math. Sci. Ser. B Engl. Ed. – ident: atypb9 doi: 10.1090/S0025-5718-1994-1242059-3 – ident: atypb63 doi: 10.1137/0729089 – ident: atypb47 doi: 10.1006/jcph.1996.5603 – ident: atypb6 doi: 10.1016/j.jcp.2011.12.025 – ident: atypb64 doi: 10.1006/jcph.1993.1077 – start-page: 22 year: 2012 ident: atypb15 publication-title: Math. Models Methods Appl. Sci. – ident: atypb40 doi: 10.1002/num.10025 – volume: 81 start-page: 228 year: 1970 ident: atypb39 publication-title: S.) – ident: atypb35 doi: 10.1137/S0036139992240711 – ident: atypb61 doi: 10.1002/num.1690070306 – ident: atypb7 doi: 10.1016/S0168-9274(02)00171-X – ident: atypb59 doi: 10.1007/BF01207258 – ident: atypb60 doi: 10.1016/0021-9991(86)90204-4 – volume: 15 start-page: 169 year: 1988 ident: atypb4 publication-title: Ann. Sc. Norm. Sup. Pisa Cl. Sci. – ident: atypb10 doi: 10.1006/jcph.2000.6666 |
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| SubjectTerms | Approximation Cauchy problem Conservation laws Decomposition Elastic waves Entropy Error rates Gas dynamics Hypotheses Mathematics Numerical Analysis Scalars Wave interaction Wave propagation |
| Title | A TWO-DIMENSIONAL VERSION OF THE GODUNOV SCHEME FOR SCALAR BALANCE LAWS |
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