MMM SEMINAR NCAR
MPDATA Error Estimator for Mesh Adaptivity
In MPDATA (Multidimensional Positive Definite Advection Transport Algorithm)
the leading error as well as the first- and second-order
solutions are known explicitly by design. This property is
employed to construct refinement indicators for mesh adaptivity.
Recent progress with the edge-based formulation of MPDATA facilitates the use
of the method in an unstructured-mesh environment. In particular, the
edge-based data structure allows for flow solvers to operate on arbitrary
hybrid meshes, thereby lending itself to
implementations of various mesh adaptivity
techniques. A novel unstructured-mesh nonoscillatory
forward-in-time (NFT) solver for compressible Euler equations is used to illustrate
the benefits of adaptive remeshing as well as mesh
movement and enrichment for the efficacy of
MPDATA based flow solvers. Validation against benchmark test
cases demonstrates robustness and accuracy of the approach.
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NCAR-Foothills Laboratory
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