On the significance of the geometric conservation law for flow computations on moving meshes
Guillard, Hervé ; Farhat, Charbel
HAL, hal-00871722 / Harvested from HAL
Text on HAL
The objective of this paper is to establish a firm theoretical basis for the enforcement of discrete geometric conservation laws (D-GCLs) while solving flow problems with moving meshes. The GCL condition governs the geometric parameters of a given numerical solution method, and requires that these be computed so that the numerical procedure reproduces exactly a constant solution. In this paper, we show that this requirement corresponds to a time-accuracy condition. More specifically, we prove that satisfying an appropriate D-GCL is a sufficient condition for a numerical scheme to be at least first-order time-accurate on moving meshes.
Publié le : 2000-07-05
Classification:  Moving meshes,  Geometric conservation laws,  Flow solvers,  Aeroelasticity,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [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],  [PHYS.PHYS.PHYS-COMP-PH]Physics [physics]/Physics [physics]/Computational Physics [physics.comp-ph] 
@article{hal-00871722,
     author = {Guillard, Herv\'e and Farhat, Charbel},
     title = {On the significance of the geometric conservation law for flow computations on moving meshes},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00871722}
}

Guillard, Hervé; Farhat, Charbel. On the significance of the geometric conservation law for flow computations on moving meshes. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00871722/