A hybrid linking approach for solving the conservation equations with an adaptive mesh refinement method
Delage Santacreu, Stephanie ; Caltagirone, J.P. ; Stéphane, Vincent ; Heliot, Jean-Philippe
HAL, hal-00395825 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-11-05
Classification:  ́ Conservation equations,  Implicit schemes,  Adaptive mesh refinement (AMR),  Interpolations,  Connections,  [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph],  [SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph],  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA],  [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA],  [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM],  [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation 
@article{hal-00395825,
     author = {Delage Santacreu, Stephanie and Caltagirone, J.P. and St\'ephane, Vincent and Heliot, Jean-Philippe},
     title = {A hybrid linking approach for solving the conservation equations with an adaptive mesh refinement method},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00395825}
}

Delage Santacreu, Stephanie; Caltagirone, J.P.; Stéphane, Vincent; Heliot, Jean-Philippe. A hybrid linking approach for solving the conservation equations with an adaptive mesh refinement method. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00395825/