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Center Innovation Fund: LaRC CIF

Convergent High-Order Compact WENO Discontinuity Capturing with Positivity Preserving for Unstructured Discontinuous Galerkin Schemes

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Convergent High-Order Compact WENO Discontinuity Capturing with Positivity Preserving for Unstructured Discontinuous Galerkin Schemes
Challenges: Our recent investigation revealed that the more advanced discontinuity capturing weighted essentially nonoscillatory (WENO) technique, which is of high-order and guarantees the formal order of accuracy in the smooth regions, is nonconvergent (see the image on the right) and a compact convergent WENO for DG has not been developed. Approach: Development of compact convergent WENO for unstructured DG schemes with construction of a set of polynomials that have different lengths than the original polynomials. Innovation: The innovation is in the development and construction of compact high-order WENO scheme that is convergent for energetic discontinuities along with a positivity preserving scheme to guarantee density and pressure values remain within physical range. More »

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