Evaluation of high order versions of the diffuse approximate meshless method

C. Prax (1) , Hamou Sadat (2) , E. Dabboura (2)

1 LEA - Laboratoire d'Études Aérodynamiques
2 LET - Laboratoire d'études thermiques

A high order version of a diffuse approximate meshless method has been implemented and tested on two problems, namely diffusion and transport diffusion two-dimensional equations. It is shown that the fourth-order approximation greatly improves the numerical solution

Mots clés: Diffusion; Transport; Meshless; High order

Domaines: Thermique [physics.class-ph]

C. Prax, Hamou Sadat, E. Dabboura. Evaluation of high order versions of the diffuse approximate meshless method. Applied Mathematics and Computation, 2007, 186 (2), pp.1040-1053. ⟨10.1016/j.amc.2006.08.059⟩. ⟨hal-00120778⟩