Method of Lines Transport approach to Directed Energy Hardware independent acceleration through Kokkos
Abstract
To date, computational methods in Directed Energy (DE) have really focused on extending traditional Particle in Cell through massively parallel simulations of these devices. One of the driving ideas behind these simulations is that by continually increasing resolution, one can overcome issues with stair step boundaries that are part of the original PIC anzatz. This means that much finer meshes are used to describe geometry than would other wise be needed, leading to a great deal of additional computational overhead. In this work we propose to develop a fully implicit approach based on the method of lines transpose (MOL^T) for the fully generalized Maxwell s equations under the generalized Lorentz gauge. Our approach would start by casting the vector potential form of Maxwell s equations as a pair of second order wave equations for the scalar and vector potential. MOL^T itself is based on successive convolution and is the first unconditionally stable method for the second order wave equation in multi D to all orders in time with a variable wave speed.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 14, 2022
- Source ID
- FA95501910281
Entities
People
- Andrew Christlieb
Organizations
- Air Force Office of Scientific Research
- Michigan State University
- United States Air Force