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Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/19308

Title: Development of a High-order Finite-volume Method for the Navier-Stokes Equations in Three Dimensions
Authors: Rashad, Ramy
Advisor: Groth, Clinton P. T.
Department: Aerospace Science and Engineering
Keywords: Computational Fluid Dynamics
High-Order
Finite-Volume
Navier-Stokes Equations
Euler Equations
CENO
Issue Date: 4-Mar-2010
Abstract: The continued research and development of high-order methods in Computational Fluid Dynamics (CFD) is primarily motivated by their potential to significantly reduce the computational cost and memory usage required to obtain a solution to a desired level of accuracy. In this work, a high-order Central Essentially Non-Oscillatory (CENO) finite-volume scheme is developed for the Euler and Navier-Stokes equations in three dimensions. The proposed CENO scheme is based on a hybrid solution reconstruction procedure using a fixed central stencil. A solution smoothness indicator facilitates the hybrid switching between a high-order k-exact reconstruction technique, and a monotonicity preserving limited piecewise linear reconstruction algorithm. The resulting scheme is applied to the compressible forms of the Euler and Navier-Stokes equations in three dimensions. The latter of which includes the application of this high-order work to the Large Eddy Simulation (LES) of turbulent non-reacting flows.
URI: http://hdl.handle.net/1807/19308
Appears in Collections:Master
Institute for Aerospace Studies - Master theses

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