A semi-discrete central scheme for scalar hyperbolic conservation laws with heterogeneous storage coefficient and its application to porous media flow

M.R. Correa; M.R. Borges

doi:10.1002/fld.3794

A semi-discrete central scheme for scalar hyperbolic conservation laws with heterogeneous storage coefficient and its application to porous media flow

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3794 ◽

2013 ◽

Vol 73 (3) ◽

pp. 205-224 ◽

Cited By ~ 8

Author(s):

M.R. Correa ◽

M.R. Borges

Keyword(s):

Porous Media ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Porous Media Flow ◽

Storage Coefficient ◽

Hyperbolic Conservation ◽

Central Scheme

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High resolution central scheme using a new upwind slope limiter for hyperbolic conservation laws

Computers & Fluids ◽

10.1016/j.compfluid.2021.105164 ◽

2021 ◽

pp. 105164

Author(s):

Zhenyu Cai ◽

Decai Li ◽

Yang Hu ◽

Mingjun Li ◽

Xiangshen Meng

Keyword(s):

High Resolution ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Slope Limiter ◽

Central Scheme

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A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems

Numerische Mathematik ◽

10.1007/pl00005455 ◽

2001 ◽

Vol 88 (4) ◽

pp. 683-729 ◽

Cited By ~ 69

Author(s):

Alexander Kurganov ◽

Guergana Petrova

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Third Order ◽

Hyperbolic Conservation ◽

Central Scheme

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A new fourth-order non-oscillatory central scheme for hyperbolic conservation laws

Applied Numerical Mathematics ◽

10.1016/j.apnum.2007.02.004 ◽

2008 ◽

Vol 58 (5) ◽

pp. 674-688 ◽

Cited By ~ 12

Author(s):

A.A.I. Peer ◽

A. Gopaul ◽

M.Z. Dauhoo ◽

M. Bhuruth

Keyword(s):

Conservation Laws ◽

Fourth Order ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Central Scheme

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Global and local central non-upwind finite volume schemes for hyperbolic conservation laws in porous media

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.2178 ◽

2009 ◽

pp. n/a-n/a ◽

Cited By ~ 3

Author(s):

Michael G. Edwards

Keyword(s):

Porous Media ◽

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Schemes ◽

Hyperbolic Conservation ◽

Global And Local

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A high-order non-oscillatory central scheme with non-staggered grids for hyperbolic conservation laws

Computer Physics Communications ◽

10.1016/j.cpc.2011.03.001 ◽

2011 ◽

Vol 182 (6) ◽

pp. 1284-1294 ◽

Cited By ~ 14

Author(s):

Mehdi Dehghan ◽

Rooholah Jazlanian

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

High Order ◽

Staggered Grids ◽

Hyperbolic Conservation ◽

Central Scheme

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A modified structured central scheme for 2D hyperbolic conservation laws

Applied Mathematics Letters ◽

10.1016/s0893-9659(99)00084-1 ◽

1999 ◽

Vol 12 (6) ◽

pp. 89-96 ◽

Cited By ~ 8

Author(s):

T. Katsaounis ◽

D. Levy

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Central Scheme

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Non-Upwind Versus Upwind Schemes for Hyperbolic Conservation Laws in Porous Media

10.2118/93691-ms ◽

2005 ◽

Cited By ~ 3

Author(s):

M.G. Edwards

Keyword(s):

Porous Media ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Upwind Schemes

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Third order nonoscillatory central scheme for hyperbolic conservation laws

Numerische Mathematik ◽

10.1007/s002110050345 ◽

1998 ◽

Vol 79 (3) ◽

pp. 397-425 ◽

Cited By ~ 103

Author(s):

Xu-Dong Liu ◽

Eitan Tadmor

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Third Order ◽

Hyperbolic Conservation ◽

Central Scheme

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Non-Upwind Monotonicity Based Finite Volume Schemes for Hyperbolic Conservation Laws in Porous Media

10.3997/2214-4609-pdb.9.b026 ◽

2004 ◽

Author(s):

M.G. Edwards

Keyword(s):

Porous Media ◽

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Schemes ◽

Hyperbolic Conservation

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Hyperbolic Conservation Laws with Umbilic Points I

10.21236/ada254431 ◽

1992 ◽

Author(s):

Gui-Qiang Chen ◽

Pui T. Kan

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Umbilic Points

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