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Showing 1 to 20 of 48 for “"Unstructured Meshes"”.
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Multigrid methods for complex engineering geometries and unstructured meshes
… the geometric multigrid to deal with engineering meshes with a small number of poor quality cells, which includes two steps: a global smoother on the whole domain, followed by a local correction on the subdomains with low quality cells. The high frequency error remaining in the low quality regions …
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Aeroelastic computations in the time domain using unstructured meshes
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1996.
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Topology Optimization with Unstructured Meshes on Graphics Processing Units (GPUs)
… element methods and topology optimization for unstructured meshes in massively parallel computer architectures, more speci cally on Graphics Processing Units or GPUs. Algorithms for every step in these methods are proposed and benchmarked with varied results. The ultimate goal of this work is …
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Sonic boom prediction methods using feature-based adaptation of unstructured meshes
… far field shocks was examined using TENASI, an unstructured flow solver developed at the SimCenter at the University of Tennessee at Chattanooga. The grids are adapted to high pressure gradient using SPACING, a program that computes the desired spacing at all points in the mesh. Results from …
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Finite Element Simulation of Interfacial Flows on Unstructured Meshes using a Second-order Accurate VOF Method
… for curvature calculation on triangular meshes, and then used to implement surface tension forces on a single layer of interface elements. A dynamic contact angle model is implemented based on the Kistler correlation, that serves as a means to evaluate the dynamic contact angle as a …
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Simulation of suspended sediment and contaminant transport in shallow water using two-dimensional depth-averaged model with unstructured meshes
… volume method using Godunov scheme explicitly on unstructured meshes. Roe's approach is used to solve Riemann problem because the analytical solver is much computationally slower. Slope-limiter approaches are applied in order to get higher accuracy. Several pure advection tests are simulated to …
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An operator-customized wavelet-finite element approach for the adaptive solution of second-order partial differential equations on unstructured meshes
… Equations (PDE), on multi-dimensional unstructured meshes. Lagrangian finite elements, which preserve C⁰ continuity with interpolating piecewise-polynomial shape functions, are a common choice for second-order PDEs. Conventional single-scale methods often have difficulty in efficiently …
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Winslow elliptic smoothing equations extended to apply to general regions of an unstructured mesh
… has traditionally been done using structured meshes but, because of their flexibility with capturing real-world geometry, unstructured meshes are being increasingly utilized. Not surprisingly, techniques that have traditionally been reserved for structured meshes are migrating to the world of …
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High Order Fluctuation Splitting Schemes for Hyperbolic Conservation Laws
… for the solution of steady conservation laws on unstructured meshes. This is an alternative approach to the two existing higher than second order fluctuation splitting schemes, which use submesh reconstruction (developed by Abgrall and Roe) and gradient recovery (developed by Caraemi) to obtain …
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Parallel Two-Dimensional Unstructured Anisotropic Delaunay Mesh Generation for Aerospace Applications
… generation approach can generate high-fidelity unstructured meshes with anisotropic boundary layers for use in the computational fluid dynamics field.</p>
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Superconvergence and A posteriori Error Estimation for the Discontinuous Galerkin Method Applied to Hyperbolic Problems on Triangular Meshes
… partial differential equations on triangular meshes. We study the effect of finite element spaces on the superconvergence properties of DG solutions on three types of triangular elements. Superconvergence is described for structured and unstructured meshes. We show that the DG solution is …
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A high-order discontinuous Galerkin multigrid solver for aerodynamic applications
… The line smoothing algorithm is presented for unstructured meshes, and p-multigrid is outlined for the nonlinear Euler equations of gas dynamics. Analysis of 2-D advection shows the improved performance of line implicit versus block implicit relaxation. Through a mesh refinement study, the …
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A linear multigrid preconditioner for the solution of the Navier-Stokes equations using a discontinuous Galerkin discretization
… a Discontinuous Galerkin (DG) discretization on unstructured meshes. An element Line-Jacobi preconditioner is presented which solves a block tridiagonal system along lines of maximum coupling in the flow. An incomplete block-LU factorization (Block-ILU(O)) is also presented as a preconditioner, …
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Matrix-free time-domain methods for general electromagnetic analysis
… the discretization is a structured grid or an unstructured mesh. No dual mesh, interpolation, projection and mass lumping are needed. Furthermore, a time-marching scheme is developed to ensure the stability for simulating an unsymmetrical numerical system, while preserving the matrix-free merit …
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Large eddy simulation of primary liquid-sheet breakup
… method for efficient atomisation modelling on unstructured meshes. This goal has been reached with the creation of high-order numerical schemes for unstructured grids, the development of an efficient numerical method that transports the liquid-vapour interface accurately while conserving mass …
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A new software framework for unstructured mesh representation and manipulation
… framework for representing and manipulating unstructured meshes in parallel, for use in modern scientific simulation codes. Due to the central nature of the unstructured mesh, this framework provides a variety of functionality, desirable throughout the lifecycle of an application, such as IO, …
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3-D Modeling of Ductile Tearing Using Finite Elements: Computational Aspects and Techniques
… of the HW preconditioner for arbitrary unstructured meshes.
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A non-parametric discontinuous Galerkin formulation of the integral boundary layer equations with strong viscous-inviscid coupling
… solutions and applicability to general unstructured meshes. For robust solution of the coupled IBL equations, a strong viscous-inviscid coupling scheme is also proposed, utilizing a global Newton method. This method provides for flexible and convenient coupling of viscous and inviscid …
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Quantification of Spalart-Allmaras Turbulence Modeling Uncertainties for Hypersonic Flows Utilizing Output-Based Grid Adaptation
… interactions (SBLI). The adapted meshes are generated using MIT Solution Adaptive Numerical Simulator (SANS) software, which is able to adapt high order unstructured meshes using a modified Continuous Galerkin (CG) finite element method (FEM) discretization. The meshes are …
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