The frontal method in hydrodynamics simulations
Computers and Fluids
By: Roy A. Walters
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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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