6 papers
Mixed-precision GPU algorithms for efficient turbulent flow simulations with Raviart-Thomas finite elements
Ivan Prusak, Enes Mustafa Soydan, Ivan Pribec +1
We propose GPU algorithms for high-fidelity simulation of incompressible turbulent flows. Discretization in space is performed with H(div)-conforming high-order Raviart-Thomas fini…
Multi-Solver Coupling for Parallel Adaptive Multi-Physics Simulations with Trixijl and dealII
Vivienne Ehlert, Gregor Gassner, Martin Kronbichler +2
Many standalone frameworks for numerical solvers have been developed to tackle the simulation of specific single- or multi-physics problems. For solving coupled problems, common ap…
Solving the (Navier-)Stokes equations with space and time adaptivity using deal.II
Peter Munch, Marc Fehling, Martin Kronbichler +2
In this article, we solve the Stokes and Navier-Stokes equations with the dealII finite-element library. In particular, we use its multigrid, adaptive-mesh, and matrix-free infr…
A conservative invariant-domain preserving projection technique for hyperbolic systems under adaptive mesh refinement
Jake Harmon, Martin Kronbichler, Matthias Maier +1
We propose a rigorous, conservative invariant-domain preserving (IDP) projection technique for hierarchical discretizations that enforces membership in physics-implied convex sets…
Graph-based methods for hyperbolic systems of conservation laws using discontinuous space discretizations
Martin Kronbichler, Matthias Maier, Ignacio Tomas
We present a graph-based numerical method for solving hyperbolic systems of conservation laws using discontinuous finite elements. This work fills important gaps in the theory as w…
Efficient parallel 3D computation of the compressible Euler equations with an invariant-domain preserving second-order finite-element scheme
Matthias Maier, Martin Kronbichler
We discuss the efficient implementation of a high-performance second-order collocation-type finite-element scheme for solving the compressible Euler equations of gas dynamics on un…