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A new TVD-MUSCL scheme for hyperbolic conservation laws

✍ Scribed by Sung-Ik Sohn

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
887 KB
Volume
50
Category
Article
ISSN
0898-1221

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✦ Synopsis

The second-order extenmon of Godunov's method for hyperbohc conservatton laws, known as MUSCL schemes, is studied in thxs paper. We present a new type of Eulenan MUSCL scheme and oscillation-free algorithms The mtercell flux is computed from difference approximations of characteristic equations with the data influencing the values at half-time step The data for characteristm equations are classified m several different types by the domain of dependence The oscillation-free algorithm, based on TVD method, gives a general formulation for previously used method and promdes a class of limiters including exmtmg hmaters. To validate the new TVD-MUSCL scheme, numencai experiments are performed for several model problems m one and two dxmensions (~)

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