Abstract
We introduce a space-time metric-based approach for the best set of spatial meshes Mopt(t) combined with the best set time step τopt(t) of space-time complexity Nst for the calculation of transient flows with implicit time advancing. Both types of error estimate, feature-based and goal-oriented, are considered for the compressible RANS equations. The case of a mesh which is adapted at each time step, and the case where the mesh is constant during a time subinterval of the whole simulation are theoretically analyzed. These space-time error estimates are then considered inside a Global Transient Fixed Point mesh adaptation algorithm. Applications to flow with vortex shedding past a cylinder are then described.
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