Oscillatory instabilities of high-resolution TVD central schemes for hyperbolic conservation laws

Michael Breuß

doi:10.1002/pamm.200510355

Oscillatory instabilities of high-resolution TVD central schemes for hyperbolic conservation laws

PAMM ◽

10.1002/pamm.200510355 ◽

2005 ◽

Vol 5 (1) ◽

pp. 761-762

Author(s):

Michael Breuß

Keyword(s):

High Resolution ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Central Schemes ◽

Oscillatory Instabilities

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High-Resolution Nonoscillatory Central Schemes with Nonstaggered Grids for Hyperbolic Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142997317560 ◽

1998 ◽

Vol 35 (6) ◽

pp. 2147-2168 ◽

Cited By ~ 112

Author(s):

G. S. Jiang ◽

D. Levy ◽

C. T. Lin ◽

S. Osher ◽

E. Tadmor

Keyword(s):

High Resolution ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Central Schemes

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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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High Resolution Conjugate Filters for Hyperbolic Conservation Laws

Hyperbolic Problems: Theory, Numerics, Applications ◽

10.1007/978-3-642-55711-8_90 ◽

2003 ◽

pp. 951-957

Author(s):

Y. C. Zhou ◽

G. W. Wei

Keyword(s):

High Resolution ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation

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HIGH RESOLUTION SCHEMES FOR HYPERBOLIC CONSERVATION LAWS

Advances on Computer Mathematics and Its Applications ◽

10.1142/9789814354561_0013 ◽

1993 ◽

pp. 188-210

Author(s):

CHRISTOS D. ANGELOPOULOS

Keyword(s):

High Resolution ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

High Resolution Schemes

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Introduction to “High Resolution Schemes for Hyperbolic Conservation Laws”

Journal of Computational Physics ◽

10.1006/jcph.1997.5725 ◽

1997 ◽

Vol 135 (2) ◽

pp. 259

Author(s):

Peter Lax

Keyword(s):

High Resolution ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

High Resolution Schemes

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Non-oscillatory central schemes on unstructured grids for two-dimensional hyperbolic conservation laws

Applied Numerical Mathematics ◽

10.1016/j.apnum.2012.03.003 ◽

2012 ◽

Vol 62 (8) ◽

pp. 941-955 ◽

Cited By ~ 6

Author(s):

R. Touma ◽

G. Jannoun

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Unstructured Grids ◽

Two Dimensional ◽

Hyperbolic Conservation ◽

Central Schemes

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Fourth-Order Nonoscillatory Upwind and Central Schemes for Hyperbolic Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903437106 ◽

2005 ◽

Vol 43 (2) ◽

pp. 455-473 ◽

Cited By ~ 11

Author(s):

Ángel Balaguer ◽

Carlos Conde

Keyword(s):

Conservation Laws ◽

Fourth Order ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Central Schemes

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High resolution schemes for hyperbolic conservation laws

Journal of Computational Physics ◽

10.1016/0021-9991(83)90136-5 ◽

1983 ◽

Vol 49 (3) ◽

pp. 357-393 ◽

Cited By ~ 2606

Author(s):

Ami Harten

Keyword(s):

High Resolution ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

High Resolution Schemes

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A new reconstruction procedure in central schemes for hyperbolic conservation laws

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.3105 ◽

2011 ◽

Vol 86 (13) ◽

pp. 1481-1506 ◽

Cited By ~ 3

Author(s):

A. Balaguer-Beser

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Reconstruction Procedure ◽

Hyperbolic Conservation ◽

Central Schemes

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FULLY DISCRETE HIGH-RESOLUTION SCHEMES FOR HYPERBOLIC CONSERVATION LAWS

International Journal for Numerical Methods in Fluids ◽

10.1002/(sici)1097-0363(19960830)23:4<309::aid-fld410>3.0.co;2-z ◽

1996 ◽

Vol 23 (4) ◽

pp. 309-323 ◽

Cited By ~ 2

Author(s):

J. SHI ◽

E. F. TORO

Keyword(s):

High Resolution ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Fully Discrete ◽

High Resolution Schemes

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