Solving an Unsteady State Flow Problem by Meshless Local Petrov-Galerkin Method (Mlpg)

Abstract

In this paper, a meshless method called “Meshless Local
Petrov-Galerkin (MLPG)” is applied to a simple atmospheric model.
The problem domain is represented by a set of arbitrarily distributed
nodes. The weight residual in MLPG method is confined to a very
small local sub-domain of a node. The numerical integrations are
carried out over a local quadrature domain defined for the node, which
can also be the local domain where the test (weight) function is defined.
The moving least-square (MLS) approximation is employed for
constructing shape functions. Results obtained from the MLPG method
are compared with the corresponding exact solutions. Effects of
boundary condition are also investigated.