9/23/2023 0 Comments Mach 4 crack![]() Consequently, our method provides high fidelity simulations with significant data compression. ![]() By leveraging wavelet theory and embedding a predictor-corrector procedure within the time advancement loop, we dynamically adapt the computational grid and maintain accuracy of the solutions of the PDEs as they evolve. The algorithm exploits the multiresolution nature of wavelet basis functions to solve initial-boundary value problems on finite domains with a sparse multiresolution spatial discretization. To that end, we develop a wavelet based technique to solve a coupled system of nonlinear partial differential equations (PDEs) while resolving features on a wide range of spatial and temporal scales. Multiscale and multiphysics problems need novel numerical methods in order for them to be solved correctly and predictively.
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