Lattice Boltzmann Methods for Compressible
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Lattice Boltzmann Methods for Compressible (Magneto)hydrodynamics
arXiv:2606.00641v1 Announce Type: new Abstract: The simulation of magnetohydrodynamic (MHD) flows presents a highly complex, tightly coupled transport problem that poses severe numerical and computational demands. Towards this, we propose a novel class of Lattice Boltzmann Methods (LBM) schemes capable of solving a wide range of transport equation systems with high computational efficiency and scalability. Our approach exploits the algorithmic structure of kinetic formulations to separately...
Tensor Network Lattice Boltzmann Method for Data-Compressed Fluid Simulations
Announce Type: replace Abstract: Resolving unsteady transport phenomena in geometrically complex domains is traditionally constrained by polynomial scaling of computational cost with spatial resolution. While methods based on tensor-network data representations or matrix-product states (MPS) data encodings have emerged as a technique to systematically reduce degrees of freedom, existing formulations do not extend to complex geometries and complex flow physics. Both capabilities are offered...