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Showing 1 to 14 of 14 for “"Method of manufactured solutions"”.
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Modified nodal integral method for non-linear coupled neutronics-heat conduction problems and exact solutions based on method of manufactured solutions
… published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-05-01
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Code Verification and Numerical Accuracy Assessment for Finite Volume CFD Codes
A detailed code verification study of an unstructured finite volume Computational Fluid Dynamics (CFD) code is performed. The Method of Manufactured Solutions is used to generate exact solutions for the Euler and Navier-Stokes equations to verify the correctness of the code through order of …
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Analysis and implementation of a high-order reconstruction algorithm for an unstructured finite volume flow solver
… to simulate field equations, particularly those of fluid dynamics, with high fidelity. High-order schemes overcome computational limitations by computing comparable solutions on grids that are coarser than grids required by a second-order flow solver. The scheme was chosen based on two criteria. …
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Coupled radiation transport and mobile depletion for health physics and environmental impact applications
The next generation of nuclear reactors pose a large challenge to existing computational methods. Caribou is a MOOSE-based health physics and environmental impact code under development at Ontario Tech which aims to address some of these challenges. This work developed a discrete ordinates …
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Stabilized finite elements for compressible turbulent Navier-Stokes
… element approach is utilized in the development of a high-order flow solver for compressible turbulent flows. The Reynolds averaged Navier-Stokes (RANS) equations and modified Spalart-Almaras (SA) turbulence model are discretized using the streamline/upwind Petrov-Galerkin (SUPG) scheme. A fully …
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Numerical Approximation of Multiphase Flows in Heterogeneous Porous Media
… discussion and key contributions to numerical methods approximating multiphase flow problems in highly heterogeneous porous media. We first highlight important background information, motivations, governing equations, and past results to the numerical analysis of such problems. Second, we …
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Viscoelastic Fluid Modeling for Geophysical Applications in an Eulerian Framework
… behavior on long timescales, motivating the use of viscoelastic models for intermediate regimes. Such models are essential for capturing both stress accumulation and permanent deformation but are highly nonlinear and numerically challenging. Classical approaches in geophysical viscoelastic …
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Analysis of Plane Strain Deformations of Linearly Elastic Strain-Gradient Materials by the Finite Element Method
… and may well describe mechanical deformations of small size bodies. In the current contribution, we develop a numerical software based on the finite element method (FEM) to analyze infinitesimal deformations of strain-gradient dependent materials by introducing auxiliary variables to enable the …
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CPU/GPU Code Acceleration on Heterogeneous Systems and Code Verification for CFD Applications
… for turbulence model implementation using the method of manufactured solutions and code-to-code comparisons. First, a variety of performance optimizations both agnostic and specific to applications and platforms are developed in order to 1) improve the heterogeneous CPU/GPU compute utilization; …
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A stabilized finite element dynamic overset method for the Navier-Stokes equations
In terms of mesh resolution requirements, higher-order finite element discretization methods offer a more economic means of obtaining accurate simulations and/or to resolve physics at scales not possible with lower-order schemes. For simulations that may have large relative motion between multiple …
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A stabilized finite element dynamic overset method for the Navier-Stokes equations
In terms of mesh resolution requirements, higher-order finite element discretization methods offer a more economic means of obtaining accurate simulations and/or to resolve physics at scales not possible with lower-order schemes. For simulations that may have large relative motion between multiple …
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Discretization Error Estimation and Exact Solution Generation Using the 2D Method of Nearby Problems
This work examines the Method of Nearby Problems as a way to generate analytical exact solutions to problems governed by partial differential equations (PDEs). The method involves generating a numerical solution to the original problem of interest, curve fitting the solution, and generating source …
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Verification of Compressible and Incompressible Computational Fluid Dynamics Codes and Residual-based Mesh Adaptation
Code verification is the process of ensuring, to the degree possible, that there are no algorithm deficiencies and coding mistakes (bugs) in a scientific computing simulation. In this work, techniques are presented for performing code verification of boundary conditions commonly used in …
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Application of Improved Truncation Error Estimation Techniques to Adjoint Based Error Estimation and Grid Adaptation
Numerical solutions obtained through the use of Computational Fluid Dynamics (CFD) are subject to discretization error, which is locally generated by truncation error. The discretization error is extremely difficult to properly estimate and this in turn leads to uncertainty over the quality of the …