Multiresolution Reconstruction of the Hypersonic Heat Flux

• Isoparametric Green’s function for general geometries and multi-material solids Multiresolution wavelet basis with shifted quadrature GF singularity Optimal regularization parameter comparison Conjugate Heat Simulation detail of heat flux on hypersonic wedge at Mach 6 A multiresolution formulation the direct inverse reconstruction from temperature sensors distributed over a multidimensional solid in an flow is presented. The thermal response determined by approximating system Galerkin method optimizing distribution fitting surface data. Coating glue layers are treated as separated domains which obtained independently. Connection conditions derived imposing continuity concurrently all interfaces. decomposed space-time where temporal functions arbitrary scaling. We develop formulas convolution product between wavelets function, approach based isoparametric mapping three-dimensional geometries, boundary problems. validate against turbulent conjugate transfer simulations wind tunnel experiments 0.8 6. main findings that effects important near shoulder short time scale, L-curve must be locally corrected to analyze transitional flows, proper leads sub-cell resolution problem.