Load Balancing For High Performance Computing Using Quantum Annealing: Adaptive Mesh Refinement

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Exploring quantum annealing's efficacy in load balancing for high-performance computing with grid-based and off-grid simulations on quantum hardware.
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In order to formulate load balancing for AMR as an Ising problem suitable for annealers, data was gathered using CompReal66, a fully compressible, finite difference flow solver for the Navier-Stokes equations. Data is defined on a nested hierarchy of logically rectangular collection of cells called grids (or patches) Each level refers to the union of all grids that share the same mesh spacing.