THESIS
2021
1 online resource (xi, 50 pages) : illustrations (some color)
Abstract
A high-order gas-kinetic scheme (HGKS) has been developed with weighted essentially non-oscillatory with adaptive order (WENO-AO) reconstruction, which
is simpler and more accurate than the HGKS with the conventional WENO type reconstruction. However, there is still room for the scheme to improve in the
aspect of algorithm and computational cost. In order to make the scheme simpler and faster, in this thesis, an improved reconstruction strategy is proposed, where the same non-linear weights are used in one direction for both point values
and derivatives. As a result, the new scheme has better computational efficiency while keeping the same order of accuracy and robustness. Many benchmark cases are conducted to validate the capability of the HGKS, especially for the
compressible flow wit...[
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A high-order gas-kinetic scheme (HGKS) has been developed with weighted essentially non-oscillatory with adaptive order (WENO-AO) reconstruction, which
is simpler and more accurate than the HGKS with the conventional WENO type reconstruction. However, there is still room for the scheme to improve in the
aspect of algorithm and computational cost. In order to make the scheme simpler and faster, in this thesis, an improved reconstruction strategy is proposed, where the same non-linear weights are used in one direction for both point values
and derivatives. As a result, the new scheme has better computational efficiency while keeping the same order of accuracy and robustness. Many benchmark cases are conducted to validate the capability of the HGKS, especially for the
compressible flow with shocks. Moreover, an implicit large eddy simulation for a supersonic planar jet is presented. Rich flow structures including shock-vortex interactions are obtained by the current HGKS.
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