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Showing 1 to 9 of 9 for “"WENO scheme"”.
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Large Eddy Simulation of Supersonic Twin-Jet Impingement Using a Fifth-Order WENO Scheme
… terms are discretized using a fifth-order WENO scheme, whereas the viscous terms are discretized using a fourth-order central-differencing scheme. A low-storage five-stage fourth-order Runge-Kutta scheme is used to advance the solution in time. Code verification is achieved by comparison …
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A high-order Legendre-WENO numerical scheme for the non-conservative kernel density equations modeling particle-laden flows
A numerical scheme is developed to integrate the kernel density equations for the particle phase of disperse flows. The kernel density equations arise from least squares minimization of the approximation of the position-velocity phase-space particle distribution by a sum of kernel density …
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Modeling coupled physics and biology in ocean straits
… using the Weighted Essentially Non-Oscillatory (WENO) scheme. The numerical model is verified against a Discontinuous-Galerkin (DG) numerical scheme on an unstructured grid. Several simulations of tidal flow are completed using bathymetry and flow magnitudes comparable to those found in the San …
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A WENO finite difference scheme for a new class of Hamilton-Jacobi equations in electroelastostatics
… in the literature, including the so-called WENO finite difference schemes. These schemes, however, were developed and tested for special classes of Hamilton-Jacobi equations, which do not include the general type of Hamilton-Jacobi equation of interest in this work. The objective of this …
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Relativistic neutron stars in general relativity and fourth order gravity
… with stiffness by employing an IMEX Runge-Kutta scheme as opposed to the more computationally intensive fully implicit schemes or other adaptive Runge Kutta methods that may be impractical for partial differential equations. The first problem is focused on the mass-radius relation of a neutron …
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Time-Domain Simulation of Sound Propagation in Frequency-Dependent Materials
… solver. The numerical method uses a high-order WENO scheme to accommodate the highly convective background flow at high Mach numbers. The study focuses on the acoustic field scaling laws scattered by the 2D and 3D vortices.
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Large eddy simulation of primary liquid-sheet breakup
… 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 and the implementation of an algorithm that outputs the droplet boundary conditions to …
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A Numerical Study of Supersonic Rectangular Jet Impingement and Applications to Cold Spray Technology
… equations are solved using a six-order compact scheme with a tenth-order compact filter combined with WENO dissipation, almost everywhere except in a region around the bow shock where a fifth-order WENO scheme is used. A fourth-order low-storage Runge-Kutta scheme is used for time integration of …
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Computational Simulation of Detonation Waves and Model Reduction for Reacting Flows
Geometry is a crucial consideration in the design of detonation chambers of pulse detonation engines since it has a major impact on detonation ignition and operation efficiency. In this thesis, numerical simulations are used to study different geometrical configurations of detonation chambers and …