DATE:

Friday, July 22, 2022

TIME:

3:30 PM

LOCATION:

Virtual Zoom Seminar

SPEAKER:

Anand Srinivasan, PhD Candidate, Computational Science

ABSTRACT:

Hyperbolic PDEs such as the advection and wave equations conform to conservation laws that are derived from fundamental physics. The traditional finite difference spatial discretization schemes with the Runge Kutta (RK) time integration methods often fail to conserve the numerical energy. In this work, we investigate the use of Mimetic Relaxation Runge Kutta methods for provably-stable numerical integration of hyperbolic PDEs. The Castillo-Grone Mimetic methods mimic the divergence and gradient operators by discretizing the extended Gauss’ divergence theorem. Relaxation RK methods ensure numerical energy preservation at each time step of integration. The energy-preserving properties of the Mimetic RRK methods shall be presented in this talk. Numerical examples that illustrate this concept shall also be presented.

HOST:

SDSU SIAM Student Chapter

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