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Steady-State Computations Using Summation-by-Parts Operators

Svärd, Magnus ; Mattsson, Ken ; Nordström, Jan

Journal of scientific computing, 2005-07, Vol.24 (1), p.79-95 [Periódico revisado por pares]

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Título:
Steady-State Computations Using Summation-by-Parts Operators
Autor: Svärd, Magnus ; Mattsson, Ken ; Nordström, Jan
Assuntos: accuracy ; Applied mathematics ; boundary ; Boundary conditions ; Computer science ; Convergence ; convergence to steady state ; Datavetenskap ; Euler-Lagrange equation ; Finite differences ; finite-difference methods ; high order finite differences ; Information technology ; Informationsteknik ; MATEMATIK ; MATHEMATICS ; navier-stokes equations ; Operators (mathematics) ; Stability ; Steady state ; summation-by-parts operators ; TECHNOLOGY ; TEKNIKVETENSKAP ; Tillämpad matematik
É parte de: Journal of scientific computing, 2005-07, Vol.24 (1), p.79-95
Descrição: This paper concerns energy stability on curvilinear grids and its impact on steady-state calulations. We have done computations for the Euler equations using fifth order summation-by-parts block and diagonal norm schemes. By imposing the boundary conditions weakly we obtain a fifth order energy-stable scheme. The calculations indicate the significance of energy stability in order to obtain convergence to steady state. Furthermore, the difference operators are improved such that faster convergence to steady state are obtained.
Editor: New York: Springer Nature B.V
Idioma: Inglês

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