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Mechanical Engineering

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Utah State University

Theses/Dissertations

Flux Correction

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Extensions Of High-Order Flux Correction Methods To Flows With Source Terms At Low Speeds, Jonathan L. Thorne May 2015

Extensions Of High-Order Flux Correction Methods To Flows With Source Terms At Low Speeds, Jonathan L. Thorne

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Computational Fluid Dynamics (CFD) is an attempt to mimic the physical world of fluids around us. In general, CFD simulations are completed by first making a mesh. Meshes are made of polygons that are arranged in such a way as to create the item in question and the fluid around it. There are many difficulties associated with mesh generation, and it can take days or weeks for a trained professional to produce adequate meshes. The CFD algorithms affect the accuracy of the simulation. Using high-order methods, more accurate results can be achieved than otherwise possible. Flux correction (FC) is a …


Numerical Examination Of Flux Correction For Solving The Navier-Stokes Equations On Unstructured Meshes, Dalon G. Work May 2014

Numerical Examination Of Flux Correction For Solving The Navier-Stokes Equations On Unstructured Meshes, Dalon G. Work

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This work examines the feasibility of a novel high-order numerical method, which has been termed Flux Correction. This is accomplished by comparing it against another high-order method called Flux Reconstruction. These numerical methods are used to solve the Navier-Stokes equations, which govern the motion of fluid flow. High-order numerical methods, or those that demonstrate a third-order and higher solution error convergence rate, are rarely used on unstructured meshes when solving fluid problems. Flux Correction intends to make high-order accuracy available to the larger world of Computational Fluid Dynamics in a simple and effective manner. The advantages and disadvantages of the …