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- W2046194806 abstract "Abstract Numerical solutions of the Euler equations of inviscid compressible flows are obtained by combining finite quadtree or octree mesh generation procedures, a finite volume technique, and an adaptive mesh refinement strategy. The finite quadtree and octree procedures, respectively, subdivide a computational domain into quadrants in two dimensions and octants in three dimensions. Mesh generation is automatic and domains containing complex two- and three-dimensional objects are discretized without user intervention. The Euler equations are approximated by a finite volume technique on the mesh of triangular or tetrahedral elements produced by the finite quadtree or octree procedures, respectively. A first-order method is generated by approximating the flow variables by piecewise constant functions and using a flux vector splitting due to van Leer. Adaptive mesh refinement is performed by locating elements of a mesh that have large Mach number gradients, subdividing cells of the finite quadtree or octree by binary refinement, and generating a new mesh locally. Two-dimensional examples involving NACA.0012 airfoils in various configurations are presented." @default.
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- W2046194806 date "1988-01-01" @default.
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- W2046194806 title "Adaptive solutions of the Euler equations using finite quadtree and octree grids" @default.
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- W2046194806 doi "https://doi.org/10.1016/0045-7949(88)90238-6" @default.
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