Computational mesh partitioning

Figure 3.24 Mesh partitioning for CFD simulations with parallel computing (METIS algorithm in ANSYS Fluent 14.0).

The accuracy of the MPP is influenced by the FE mesh, the truncation level M of the random parameter field, the partition of E, and the choice of the ansatz functions both in spatial and random domain. These parameters can be gradually adapted such that the MPP is computed with a prescribed accuracy. 

The elements of are easy to compute once we know the node positions and mesh topology. Let denote the region occupied by triangular element k, and let the volume of this element be [ 1. Then, since the elements are nonoverlapping, we can partition the integral in (6.222) into contributions from each element. 

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