Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 51 for “"unstructured grids"”.
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Parallelization of the Euler Equations on Unstructured Grids
… one-dimensional limiter formulations to the unstructured case is also discussed and applied to Van Albada’s limiter as well as Roe’s Superbee limiter. Solutions and convergence histories for a two-dimensional supersonic ramp problem using these limiters are presented along with computations …
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An Efficient Storage And Retrieval Mechanism For Large Unstructured Grids
… on large multidimensional arrays. In contrast, unstructured grids consisting of collections of implices (e.g. triangles or tetrahedra) present special challenges that have received less attention. Data values found at the vertices of the simplices may be dispersed throughout a datafile, …
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Computation of high-lift aerodynamics using unstructured grids and Reynolds-stress turbulence models
… thesis describes the development ofan efficient unstructured grid generation method for high lift flows and theapplication of Differential Reynolds Stress Models (DRSM).The method described in this thesis, separates the grid generation processinto two steps: generation of the anisotropic regions …
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DEVELOPMENT OF HIGH-ORDER FINITE VOLUME METHODS ON UNSTRUCTURED GRIDS AND THEIR APPLICATIONS
… high-order finite volume (FV) methods on unstructured grids are developed in this thesis for simulation of various flow problems. Under the basic framework of the unstructured finite volume method, a high-order polynomial based on Taylor series expansion is constructed within every control …
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Aerodynamic optimization based on the Euller and Navier-Stokes equations using unstructured grids
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1998.
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Spatially adaptive multiwavelet representations on unstructured grids with applications to multidimensional computational modeling
… wavelets, which are restricted to uniform grids, surface wavelets have the power to perform signal processing operations on complex meshes, such as those encountered in finite element modeling. This motivates the study of surface wavelets as an efficient representation for the modeling and …
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Performance Modeling and Prediction for the Scalable Solution of Partial Differential Equations on Unstructured Grids
… <p>Specifically, a three-dimensional unstructured grid incompressible Euler code from NASA has been parallelized with the Portable Extensible Toolkit for Scientific Computing (PETSc) library for distributed memory architectures. Using this newly instrumented code (called PETSc-FUN3D) …
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Implementation of a high order Discontinuous Galerkin Spectral Element Method for the Euler and Navier-Stokes equations on unstructured grids
Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2027-05-01
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Compiler and run-time support for irregular computations
… be more accurately modeled using iterations on unstructured grids. In these problems, regular compiler analysis for Massively Parallel Processors (MPP) with distributed address space fails because the communication can only be determined at run-time. However, in many of these applications the …
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Two-dimensional Euler computations on a triangular mesh using an upwind, finite-volume scheme
… finite-volume solution of the Euler equations on unstructured, triangular meshes using a flux-difference split, upwind method. The procedure uses a dual mesh system to implement the finite-volume scheme using conserved variables stored at the vertices of the triangles. The vertices of the …
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Error estimates for numerical approximations to scalar conservation laws
… we generalize finite volume schemes on staggered grids to several <br>space dimensions and to a large class of unstructured grids. We give a <br>complete a priori and a posteriori error analysis. Furthermore, we study <br>higher order schemes and implicit schemes.
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Numerical Simulation of Multiphase Flow in Fractured Porous Media
… elements in the fractures. The method features unstructured grids, adaptive refinement and multigrid methods. It is implemented for twodimensional and threedimensional complex problems with several million unknowns. Additionally, a discontinuous Galerkin method for the groundwater flow equation …
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A DG HWENO scheme for hyperbolic equations
… in 1-D for P₂ to P₅ interpolants on non-uniform grids and in 2-D for P₂ interpolants on triangular unstructured grids. Numerical results for this limiter are presented for Burgers equation.
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An Algebraic Volume of Fluid Method for Strongly Coupled Spacecraft Fuel Slosh Modelling
… To be applicable to industrial geometries, an unstructured finite volume median dual cell methodology is employed for spatial discretisation. This gives rise to the first novel contribution of this work, namely the development of a new volume conservative VoF initialisation method for arbitrary …
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Comparison of two methods for two dimensional unstructured mesh adaptation with elliptic smoothing
A new mesh adaptation method for unstructured grids is presented. The technique uses virtual control volumes that are iteratively manipulated to conform the mesh to match either a Riemannianmetric tensor field or an equal distribution of scalar weights. Forcing functions similar to those used for …
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Finite volume schemes for hyperbolic-parabolic systems : error estimates
Finite-volume schemes on unstructured grids are the most frequently used <br>to approximate solutions of systems of hyperbolic balance laws in multi-space dimension. <br>The convergence analysis for the scalar case is well developed, even though <br>not complete up to now. In contrast, very few is …
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Exploring a Novel Adaptive Mesh Refinement Strategy for High-Speed CFD
… grid independent solutions on multi-element unstructured grids is a topic of practical interest within the CFD community.</p> <p>The current effort focuses on the efficiency of a novel Adaptive Mesh Refinement (AMR) strategy that is developed and evaluated for transonic high-speed flows using …
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Algebraic multigrid for stabilized finite element discretizations of the Navier Stokes equation
… Euler and Navier Stokes equations on generalized unstructured grids is described. The method is based on an elemental agglomeration multigrid which produces a hierarchical sequence of coarse subspaces. Linear combinations of the basis functions from a given space form the next subspace and the use …
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Aerodynamic Design Sensitivities on an Unstructured Mesh Using the Navier-Stokes Equations and a Discrete Adjoint Formulation
… for aerodynamic design optimization on unstructured grids. The governing equations are the three-dimensional Reynolds-averaged Navier-Stokes equations coupled with a one-equation turbulence model. A discussion of the numerical implementation of the flow and adjoint equations is …
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