Fully implicit shock tracking

DOI10.1016/0021-9991(82)90048-1zbMath0494.76006OpenAlexW2059269094MaRDI QIDQ1169335

Gregory R. Shubin, Jay M. Solomon, John B. Bell

Publication date: 1982

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(82)90048-1

zbMATH Keywords

one-dimensionalunsteadyvariable area ductinternal shock waveshock surfacefully implicit shock tracking methodhyperbolic free boundary problems

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Basic methods in fluid mechanics (76M99)

Related Items

Implicit shock tracking for unsteady flows by the method of lines ⋮ A robust, high-order implicit shock tracking method for simulation of complex, high-speed flows ⋮ A space-time high-order implicit shock tracking method for shock-dominated unsteady flows ⋮ An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions ⋮ Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method ⋮ Convergence study of an implicit multidomain approximation for the compressible Euler equations ⋮ High-order implicit shock tracking (HOIST)

Cites Work

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• On the structure and use of linearized block implicit schemes
• Steady shock tracking and Newton's method applied to one-dimensional duct flow
• A diagonal form of an implicit approximate-factorization algorithm
• An implicit finite-difference algorithm for hyperbolic systems in conservation-law form