Animations from our research on high-order numerical methods,
semi-Lagrangian schemes, and structure-preserving algorithms.
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Fluid Dynamics & Conservation Laws
Euler equations · Incompressible flow
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Shear Flow Simulation
Semi-Lagrangian discontinuous Galerkin simulation of the shear flow
problem for the two-dimensional incompressible Euler equations.
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Sedov Blast Wave
Lagrangian simulation of the Sedov point-blast problem for the
compressible Euler equations. Made by Haoran Qiao.
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Double Mach Reflection
Kernel-based WENO scheme for Double Mach Reflection
Transport on Unstructured Meshes
Curvilinear meshes · Eulerian-Lagrangian DG
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Swirling Deformation Simulation
High order Semi-Lagrangian discontinuous Galerkin method on curvilinear unstructured mesh of the swirling deformation
problem.
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Swirling Deformation Simulation
Cai, Chen, Fu, Pan. SIAM journal on Scientific Computing. Made by Kunkai Fu.
High order remapping algorithm on curvilinear unstructured mesh
Curvilinear meshes · Remapping method
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Conservation remapping algorithm
High order remapping algorithm on curvilinear unstructured mesh
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Conservative remapping algorithm
High order remapping algorithm on curvilinear unstructured mesh. Made by Kunkai Fu.