A constrained-transport embedded boundary method for compressible resistive magnetohydrodynamics

Jones, Samuel William; McNally, Colin P.; Reynolds, Meritt

doi:10.1016/j.jcp.2025.114641

A constrained-transport embedded boundary method for compressible resistive magnetohydrodynamics

Journal Article · Wed Dec 31 00:00:00 EST 2025 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2025.114641· OSTI ID:3012234

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Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Orchard Numerical, Vancouver, BC (Canada)
General Fusion, Richmond, BC (Canada)

Motivated by the increased interest in pulsed-power magneto-inertial fusion devices in recent years, we present a method for implementing an arbitrarily shaped embedded boundary on a Cartesian mesh while solving the equations of compressible resistive magnetohydrodynamics. The method is built around a finite volume formulation of the equations in which a Riemann solver is used to compute fluxes on the faces between grid cells, and a face-centered constrained transport formulation of the induction equation. The small time step problem associated with the cut cells is avoided by always computing fluxes on the faces and edges of the Cartesian mesh. We extend the method to model a moving interface between two materials with different properties using a ghost-fluid approach, and show some preliminary results including shock-wave-driven and magnetically-driven dynamical compressions of magnetohydrostatic equilibria. In conclusion, we present a thorough verification of the method and show that it converges at second order in the absence of discontinuities, and at first order with a discontinuity in material properties.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: Government of Canada; USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 3012234

Report Number(s):: LA-UR--24-33097; 10.1016/j.jcp.2025.114641

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 550; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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A constrained-transport embedded boundary method for compressible resistive magnetohydrodynamics

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