A hybrid linking approach for solving the conservation equations with an adaptive mesh refinement method

Accurate numerical computation of complex flows on a single grid requires very fine meshes to capture phenomena occurring at both large and small scales. The use of adaptive mesh refinement (AMR) methods, significantly reduces the involved computational time and memory. In the present article, a hyb...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2006-07, Vol.191 (2), p.280-296
Main Authors: Delage, Stephanie, Vincent, Stephane, Caltagirone, Jean-Paul, Heliot, Jean-Philippe
Format: Article
Language:English
Subjects:
Adaptive mesh refinement (AMR)
Computer Science
Connections
Conservation equations
Discrete Mathematics
Engineering Sciences
Exact sciences and technology
Fluid mechanics
Fluids mechanics
Implicit schemes
Interpolations
Mathematics
Mechanics
Modeling and Simulation
Numerical Analysis
Numerical analysis. Scientific computation
Partial differential equations, boundary value problems
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Physics
Sciences and techniques of general use
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Summary:Accurate numerical computation of complex flows on a single grid requires very fine meshes to capture phenomena occurring at both large and small scales. The use of adaptive mesh refinement (AMR) methods, significantly reduces the involved computational time and memory. In the present article, a hybrid linking approach for solving the conservation equations with an AMR method is proposed. This method is essentially a coupling between the h-AMR and the multigrid methods. The efficiency of the present approach has been demonstrated by solving species and Navier–Stokes equations.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2005.06.043