High-order centered difference methods with sharp shock resolution

DOI10.1007/BF02088817zbMath0894.76049MaRDI QIDQ1375903

Bertil Gustafsson, Pelle Olsson

Publication date: 13 September 1998

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

artificial viscosityRiemann problemLax \(k\)-shock conditionstationary one- and two-point shocks

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20)

Related Items (2)

Analysis of one-dimensional inviscid and two-dimensional viscous flows using entropy preserving method ⋮ The construction of discretely conservative finite volume schemes that also globally conserve energy or entropy

Cites Work

• Non-oscillatory central differencing for hyperbolic conservation laws
• On the symmetric form of systems of conservation laws with entropy
• Fourth-order difference methods for hyperbolic IBVPs
• Total-Variation-Diminishing Time Discretizations
• A Random Choice Finite Difference Scheme for Hyperbolic Conservation Laws
• Nonlinearly Stable Compact Schemes for Shock Calculations
• Summation by Parts, Projections, and Stability. I
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