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Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
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Mesh refinement schemes for the concurrent atomistic-continuum method
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Accurate interface normal and curvature estimates on three-dimensional unstructured non-convex polyhedral meshes
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High-order unstructured curved mesh generation using the Winslow equations
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A new splitting scheme to the discrete Boltzmann equation for non-ideal gases on non-uniform meshes
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A high-order conservative remap for discontinuous Galerkin schemes on curvilinear polygonal meshes
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Mesh independence of the generalized Davidson algorithm
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Conservative high-order discontinuous Galerkin remap scheme on curvilinear polyhedral meshes
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Foundations for high-order, conservative cut-cell methods: Stable discretizations on degenerate meshes
Cut-cell methods for unsteady flow problems can greatly simplify the grid generation process and allow for high-fidelity simulations on complex geometries. However, cut-cell methods have been limited to low orders of accuracy. This is driven, largely, by the variety of procedures typically introduced to evaluate derivatives in a stable manner near the highly irregular embedded geometry. Here, a completely new approach, termed TEMO (truncation error matching and optimization), is taken to solve this problem. The approach is based on two simple and intuitive design principles. These principles directly allow for the construction of stable 8th To the best of the authors' knowledge, these are the highest orders ever achieved for a cut-cell discretization by a significant margin. This is done for both explicit and compact finite differences and is accomplished without any geometric transformations or artificial stabilization procedures.
A state redistribution algorithm for finite volume schemes on cut cell meshes
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Massively parallel finite difference elasticity using block-structured adaptive mesh refinement with a geometric multigrid solver
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