419,597 research outputs found
Domain decomposition finite element/finite difference method for the conductivity reconstruction in a hyperbolic equation
We present domain decomposition finite element/finite difference method for
the solution of hyperbolic equation. The domain decomposition is performed such
that finite elements and finite differences are used in different subdomains of
the computational domain: finite difference method is used on the structured
part of the computational domain and finite elements on the unstructured part
of the domain. The main goal of this method is to combine flexibility of finite
element method and efficiency of a finite difference method.
An explicit discretization schemes for both methods are constructed such that
finite element and finite difference schemes coincide on the common structured
overlapping layer between computational subdomains. Then the resulting scheme
can be considered as a pure finite element scheme which allows avoid
instabilities at the interfaces.
We illustrate efficiency of the domain decomposition method on the
reconstruction of the conductivity function in the hyperbolic equation in three
dimensions
A multiblock grid generation technique applied to a jet engine configuration
Techniques are presented for quickly finding a multiblock grid for a 2D geometrically complex domain from geometrical boundary data. An automated technique for determining a block decomposition of the domain is explained. Techniques for representing this domain decomposition and transforming it are also presented. Further, a linear optimization method may be used to solve the equations which determine grid dimensions within the block decomposition. These algorithms automate many stages in the domain decomposition and grid formation process and limit the need for human intervention and inputs. They are demonstrated for the meridional or throughflow geometry of a bladed jet engine configuration
Parallel efficiency of a boundary integral equation method for nonlinear water waves
We describe the application of domain decomposition on a boundary integral method for the study of nonlinear surface waves on water in a test case for which the domain decomposition approach is an important tool to reduce the computational effort. An important aspect is the determination of the optimum number of domains for a given parallel architecture. Previous work on hetero- geneous clusters of workstations is extended to (dedicated) parallel platforms. For these systems a better indication of the parallel performance of the domain decomposition method is obtained because of the absence of varying speed of the processing elements
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