On the significance of the geometric conservation law for flow computations on moving meshes

213 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Stability analysis of second-order time accurate schemes for ALE-FEM (2004, background): “More specifically its significance in a finite volume context and for aero-elasticity problems has been tackled in [6,9], while in [7] a procedure is given to build schemes for unstructured dynamic meshes that show (by numerical experimentation) a second-order time accuracy.”
Arbitrary Lagrangian–Eulerian Methods (2004, methodology): “In a series of papers (see Lesoinne and Farhat, 1996; Koobus and Farhat, 1999; Guillard and Farhat, 2000; and Farhat et al, 2001), Farhat and coworkers have discussed the notion of geometric conservation laws for unsteady flow computations on moving and deforming finite element or finite volume grid”
Convergence of a finite element/ALE method for the Stokes equations in a domain depending on time (2009, methodology): “This method has been proposed and studied by many authors: [11–19].”