Abstract
The simulation of viscous, compressible flows around complex geometries or similar applications often inherit the task of solving large, stiff systems of ODEs. Domain-based implicit-explicit (IMEX) type schemes offer the possibility to apply two different schemes to different parts of the computational domain. The goal hereby is to decrease the computational cost by increasing the admissible step sizes with no loss of stability and by reducing the system sizes of the linear solver within the implicit integrator. But which combination of methods reaches the largest gain in efficiency? Coupling of Runge-Kutta methods or different multistep methods has been investigated so far by other authors. Here, we inspect the adoption of the recently introduced exponential integrators called EPIRK and sEPIRK in the IMEX setting, since they are perfectly suited for large, stiff systems of ODEs.
Original language | English |
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Title of host publication | Proceedings of ICNAAM 2016, AIP Conference Proceedings 1863 |
Publisher | American Institute of Physics (AIP) |
Volume | 410008 |
ISBN (Electronic) | 9780735415386 |
DOIs | |
Publication status | Published - 2017 Jul 21 |
Event | International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 - Rhodes, Rhodes, Greece Duration: 2016 Sept 19 → 2016 Sept 25 |
Conference
Conference | International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 |
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Abbreviated title | ICNAAM 2016 |
Country/Territory | Greece |
City | Rhodes |
Period | 2016/09/19 → 2016/09/25 |
Subject classification (UKÄ)
- Computational Mathematics