Matrix Product State Simulation of Reactive Flows

The matrix product state (MPS) representation, developed for approximating the state of quantum many-body systems, exploits their correlation structure to accurately capture the underlying physics in a low-rank form (i.e., in a massively reduced state space). Here, the methodology is employed for simulating chemically reacting turbulent flows. In doing so, the governing differential operators representing compressible, reacting turbulent flows are recast in the context of MPS, and their dynamics is simulated with various degrees of truncation. Simulations are performed to assess the effects of the Reynolds number, the Mach number and chemical heat release ratios on the compositional structure of the flow. The results via MPS-reduced order solutions are appraised against those generated via direct numerical simulation of the same flows.