Construction of a $p$-adaptive continuous Residual Distribution scheme
VIVILLE, Quentin
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
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Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
VIVILLE, Quentin
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
< Reduce
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Language
en
Document de travail - Pré-publication
English Abstract
A \textit{p}-adaptive continuous Residual Distribution scheme is proposed in this paper.Under certain conditions, primarily the expression of the total residual on a given element $K$ into residuals on the sub-elements of ...Read more >
A \textit{p}-adaptive continuous Residual Distribution scheme is proposed in this paper.Under certain conditions, primarily the expression of the total residual on a given element $K$ into residuals on the sub-elements of $K$ and the use of a suitable combination of quadrature formulas,it is possible to change locally the degree of the polynomial approximation of the solution.The discrete solution can then be considered non continuous across the interface of elements of different orders, while the numerical scheme still verifies the hypothesis of the discrete Lax-Wendroff theorem which ensures its convergenceto a correct weak solution.We detail the theoretical material and the construction of our \textit{p}-adaptive method in the frame of a continuous Residual Distribution scheme. Different test cases for non-linear equations at different flow velocities demonstrate numerically the validity of the theoretical results.Read less <
English Keywords
Compressible Navier Stokes equations
Unstructured meshes
residual distribution schemes
Mesh adaptation
non oscillatory schemes
ANR Project
Initiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003
Origin
Hal imported