A Low Order Mimetic Finite Difference Method for Resistive Magnetohydrodynamics in 2D
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
We developed a low order Mimetic Finite Difference (MFD) discretization for the equations of magnetohydrodynamics (MHD) in two space dimensions. These equations describe the evolution of the electric and magnetic fields in the presence of prescribed velocity field.The method is designed to work on general polygonal meshes and preserves the divergence-free condition on the magnetic field. The electric field is discretized at the vertices/nodes and the magnetic field uses edge-based discretization. The method reconstructs the magnetic field to extract nodal values necessary to approximate some terms present in Ohm’s law. We test the robustness of our numerical scheme on three different types of meshes: with triangular elements, quadrilateral and unstructured polyhedrons obtain from a Voronoi tesselation. Analysis of the convergence for each of the aforementioned mesh types is presented. We finish with a test problem that shows the method is capable of modelling magnetic reconnection.
- Research Organization:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- National Science Foundation; USDOE
- DOE Contract Number:
- AC52-06NA25396
- OSTI ID:
- 1473774
- Report Number(s):
- LA-UR--18-29007
- Country of Publication:
- United States
- Language:
- English
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