Reversed stability conditions in transient finite element analysis
Numerical methods which introduce artificially unstable modes are discussed. In structural and elastodynamics these results from optimal mass lumping with higher-order elements. In fluid mechanics an additional source of these modes can be a penalty function with alternating signs. These modes yield...
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| Veröffentlicht in: | Computer methods in applied mechanics and engineering 1988-05, Vol.68 (1), p.97-114 |
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| container_title | Computer methods in applied mechanics and engineering |
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| creator | Malkus, David S. Plesha, Michael E. Liu, Meng-Ru |
| description | Numerical methods which introduce artificially unstable modes are discussed. In structural and elastodynamics these results from optimal mass lumping with higher-order elements. In fluid mechanics an additional source of these modes can be a penalty function with alternating signs. These modes yield unstable modal equations; however, they do not necessarily imply unstable ttransient integration in the presence of algorithmic damping. Stable integration can be achieved by satisfying a stability condition in which the roles of space-step and time-step are reversed. Elastodynamics, the Navier-Stokes equations, and non-Newtonian fluids provide numerical examples. |
| doi_str_mv | 10.1016/0045-7825(88)90109-0 |
| format | Article |
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| ispartof | Computer methods in applied mechanics and engineering, 1988-05, Vol.68 (1), p.97-114 |
| issn | 0045-7825 1879-2138 |
| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) General theory Physics |
| title | Reversed stability conditions in transient finite element analysis |
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