Numerical computation of internal & external flows: fundamentals of numerical discretization
Numerical computation of internal & external flows: fundamentals of numerical discretization
Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
SIAM Journal on Scientific and Statistical Computing
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
A cell-centered adaptive projection method for the incompressible Euler equations
Journal of Computational Physics
A one-cell local multigrid method for solving unsteady incompressible multiphase flows
Journal of Computational Physics
Tracking Fronts in One and Two-phase Incompressible Flows Using an Adaptive Mesh Refinement Approach
Journal of Scientific Computing
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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.