Time-Implicit Hydrodynamics for Euler Flows*
We consider the Euler equations with gravity source terms, and derive a time-implicit resolution scheme from the explicit one developed by Vides et al. [8]. This requires computing a Jacobian matrix, which is done symbolically using the automatic differentiation tool TA...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2014-09-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | http://dx.doi.org/10.1051/proc/201445030 |
| Summary: | We consider the Euler equations with gravity source terms, and derive a time-implicit
resolution scheme from the explicit one developed by Vides et al. [8]. This
requires computing a Jacobian matrix, which is done symbolically using the automatic
differentiation tool TAPENADE developed at Inria. The resulting sparse linear
system is solved using the PETSc library. We present parallel numerical results
for a 2-D Rayleigh-Taylor instability on up to 4096 CPU cores. |
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| ISSN: | 2267-3059 |