doc:user:integration:scheme:dynexpl
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doc:user:integration:scheme:dynexpl [2015/10/09 16:33] – [Le schema Tchamwa] wautelet | doc:user:integration:scheme:dynexpl [2022/12/21 11:35] (current) – [New Metafor Version > 2422] boman | ||
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This scheme is conditionally stable (time step limited) and non dissipative. | This scheme is conditionally stable (time step limited) and non dissipative. | ||
- | ==== alpha-generalized scheme ==== | + | ==== Alpha-generalized scheme ==== |
Same relations as in the implicit [[dynimpl|alpha-generalized]] scheme, but with the parameter used to weight internal and external forces equal to 1, leading to : | Same relations as in the implicit [[dynimpl|alpha-generalized]] scheme, but with the parameter used to weight internal and external forces equal to 1, leading to : | ||
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Conditionally stable. | Conditionally stable. | ||
- | ==== Le schema | + | ==== Tchamwa |
+ | |||
Explicit algorithm where numerical dissipation is monitored by the parameter $\phi$. | Explicit algorithm where numerical dissipation is monitored by the parameter $\phi$. | ||
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Relation between $\phi$ and spectral radius for the bifurcation $\rho_\beta$ (user parameter '' | Relation between $\phi$ and spectral radius for the bifurcation $\rho_\beta$ (user parameter '' | ||
* $$\phi = \frac{2(1- \rho_\beta^{1/ | * $$\phi = \frac{2(1- \rho_\beta^{1/ | ||
- | * $$\phi = 1 \mbox{ if} \rho_\beta = 1 $$ | + | * $$\phi = 1 \mbox{ if } \rho_\beta = 1 $$ |
- | ===== Data set ===== | + | ===== Input file ===== |
See [[dynimpl|dynamic implicit]] scheme for definition of density and initial velocities. | See [[dynimpl|dynamic implicit]] scheme for definition of density and initial velocities. | ||
- | ==== Choosing the algorithm | + | ==== Old Metafor Version <= 2422 ==== |
- | ^ | + | === Choosing the algorithm === |
- | | Chung Hulbert | + | |
- | | Différence centrée | + | ^ |
- | | Tchamwa | + | | Certered difference |
+ | | Chung Hulbert | ||
+ | | Tchamwa | ||
(see [[doc: | (see [[doc: | ||
+ | |||
+ | ==== New Metafor Version > 2422 ==== | ||
+ | |||
+ | === Centered Difference === | ||
+ | |||
+ | < | ||
+ | ti = CentralDifferenceTimeIntegration(metafor) | ||
+ | metafor.setTimeIntegration(ti) | ||
+ | </ | ||
+ | |||
+ | === Chung Hulbert === | ||
+ | |||
+ | < | ||
+ | ti = ChExplicitTimeIntegration(metafor) | ||
+ | ti.setRhoB(_rhoB) | ||
+ | metafor.setTimeIntegration(ti) | ||
+ | </ | ||
+ | |||
+ | The parameter '' | ||
+ | |||
+ | === Tchamwa === | ||
+ | |||
+ | < | ||
+ | ti = TchamwaExplicitTimeIntegration(metafor) | ||
+ | ti.setRhoB(_rhoB) | ||
+ | metafor.setTimeIntegration(ti) | ||
+ | </ | ||
+ | |||
+ | The parameter '' | ||
Other parameters : see [[quasistatique]] | Other parameters : see [[quasistatique]] |
doc/user/integration/scheme/dynexpl.1444401189.txt.gz · Last modified: 2016/03/30 15:22 (external edit)