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CD Technical Meeting (NM2): Advanced solvers and discretizations for highly anisotropic diffusion (II)
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Europe/London
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Description
Abstract
This talk is concerned with state-of-the-art solver techniques for the highly anisotropic heat conduction encountered in magnetic confinement fusion plasmas. Being able to accurately run high fidelity simulations of magnetic confinement fusion devices is critical to advance our physical understanding of fusion, and interface with great experimental progress being made. The high levels of anisotropy pose two major challenges: (i) discretisation accuracy and (ii) efficient implicit linear solvers.
The talk will present several accurate structure-preserving discretization schemes that in particular avoid the need to conform the computational mesh to the magnetic field surfaces. Progress in solving the resulting linear systems will be presented and a new preconditioning scheme, which combines domain discretization and algebraic multigrid, will be demonstrated. New results, showing that the novel preconditioner significantly outperforms classical algebraic multigrid on a selection of fusion-relevant examples, will be presented.
This work is the second CD Technical Talk given as part of the Fusion Futures International Collaboration Robust and scalable solvers for PDEs with highly varying anisotropic coefficients in magnetic confinement fusion involving UKAEA, STFC-SCD and Los Alamos National Laboratory.
