Hybrid solution-adaptive unstructured Cartesian method for large-eddy simulation of detonation in multi-phase turbulent reactive mixtures
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A class of problems of both great fundamental interest and practical relevance is in the field of highly compressible turbulent flows of multi-fluids. Shock interaction with turbulence and/or flames have many practical applications and require advanced computational techniques. This report summarizes the work done to date to develop methods and algorithms for hybrid structured-unstructured methods in large-eddy simulations (LES). Particular emphasis is given to efficiency and accuracy while using techniques applicable to solution-adaptive approaches. The formulation and algorithm for statically refined grids for DNS and LES is shown to be robust and allows rapid inclusion in existing solvers with a minimal change in code base while also ensuring compatibility with existing features. Extensions to solution-adaptive techniques from the static approach are discussed. The application of the method to numerous flow examples demonstrates the capability and robustness of the method. Finally, an adaptive Cartesian method using level-sets and cut-cells to solve the interactions of complex, deforming and reacting bodies in a compressible flow field is developed and validated.