Higher-order solver for cylindrical shock problem

DOI10.1016/S0895-7177(00)00185-0zbMath0994.76064OpenAlexW2041135572MaRDI QIDQ1595175

T. V. Singh, Rama Shankar, Dheeraj Bhardwaj

Publication date: 7 October 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(00)00185-0

zbMATH Keywords

conservation lawsRunge-Kutta methodcylindrical shock waveshock capturinghyperbolic systemsource termcubic spline function approximationfourth-order solver

Mathematics Subject Classification ID

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

Cites Work

• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Upwind methods for hyperbolic conservation laws with source terms
• A study of numerical methods for hyperbolic conservation laws with stiff source terms
• Computation of radially symmetric shocked flows
• Numerical solution of quasi-conservative hyperbolic systems - the cylindrical shock problem
• A numerical method for a converging cylindrical shock
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