The frontal method in hydrodynamics simulations
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Abstract
The frontal solution method has proven to be an effective means of solving the matrix equations resulting from the application of the finite element method to a variety of problems. In this study, several versions of the frontal method were compared in efficiency for several hydrodynamics problems. Three basic modifications were shown to be of value: 1. Elimination of equations with boundary conditions beforehand, 2. Modification of the pivoting procedures to allow dynamic management of the equation size, and 3. Storage of the eliminated equations in a vector. These modifications are sufficiently general to be applied to other classes of problems.
Publication type | Article |
---|---|
Publication Subtype | Journal Article |
Title | The frontal method in hydrodynamics simulations |
Series title | Computers and Fluids |
DOI | 10.1016/0045-7930(80)90016-X |
Volume | 8 |
Issue | 2 |
Year Published | 1980 |
Language | English |
Publisher | Elsevier |
Description | 8 p. |
First page | 265 |
Last page | 272 |
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