Abstract
This paper presents Euler calculations employing several recent developments: — a family of upwind finite-element schemes based on approximate Riemann solvers, — mesh adaption procedures.
The approximation is a second-order accurate MUSCL-like scheme, that includes monotonicity-preserving limiters. Efficiency is achieved by an implicit formulation. The solution procedure is combined with a mesh enrichment algorithm by local element division, and a node movement algorithm more specifically adapted to accurately capture 1-D structures (shocks, layers,...).
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© 1989 Friedr Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Dervieux, A., Desideri, J.A., Fezoui, F., Palmerio, B., Rosenblum, J.P., Stoufflet, B. (1989). Euler Calculations by Upwind Finite Element Methods and Adaptive Mesh Algorithms. In: Dervieux, A., Leer, B.V., Periaux, J., Rizzi, A. (eds) Numerical Simulation of Compressible Euler Flows. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 26. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87875-5_9
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DOI: https://doi.org/10.1007/978-3-322-87875-5_9
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