«numerical diffusion»
۲۲٬۸۸۸ نتیجهNumerical Oscillations in Pipe-filling Bore Predictions by Shock-Capturing Models
The introduction of non-linear, shock-capturing schemes has improved numerical predictions of hydraulic bores but significant numerical oscillations have been reported in the predictions of pipe-filling bore fronts associated with the transition between open-channel and pressuriz
Numerical solution of population balance equations for nucleation, growth and aggregation processes
This article focuses on the derivation of numerical schemes for solving population balance models (PBMs) with simultaneous nucleation, growth nd aggregation processes. Two numerical methods are proposed for this purpose. The first method combines a method of characteristics (MOC)
Improved discretization of the wavelength derivative term in CMF operator splitting numerical radiative transfer
We describe two separate wavelength discretization schemes that can be used in the numerical solution of the comoving frame radiative transfer equation. We present an improved second order discretization scheme and show that it leads to significantly less numerical diffusion than
Entropy Stable Numerical Schemes for Two-Fluid Plasma Equations
Two-fluid ideal plasma equations are a generalized form of the ideal MHD equations in which electrons and ions are considered as separate species. The design of efficient numerical schemes for the these equations is complicated on account of their non-linear nature and the presen
Accurate Numerical Discretizations of Non-conservative Hyperbolic Systems
We present an alternative framework for designing efficient numerical schemes for nonconservative hyperbolic systems. This approach is based on the design of entropy conservative discretizations and suitable numerical diffusion operators that mimic the effect of underlying viscou
Numerical Analysis of Filter-Based Stabilization for Evolution Equations
We consider filter based stabilization for evolution equations (in general) and for the Navier-Stokes equations (in particular). The first method we consider is to advance in time one time step by a given method and then to apply an (uncoupled and modular) filter to get the appro
Numerical Schemes for Conservation Laws via Hamilton - Jacobi Equations
We present some difference approximation schemes which converge to the entropy solution of a scalar conservation law having a convex flux. The numerical methods described here take their origin from approximation schemes for Hamilton-Jacobi-Bellman equations related to optimal co
The Sensitivity of Numerically Simulated Cyclic Mesocyclogenesis to Variations in Model Physical and Computational Parameters
In a previous paper, a three-dimensional numerical model was used to study the evolution of successive mesocyclones produced by a single supercell storm, that is, cyclic mesocyclogenesis. Not all supercells, simulated or observed, exhibit this behavior, and few previous papers in
The HyperCASL algorithm: A new approach to the numerical simulation of geophysical flows
We describe a major extension to the Contour-Advective Semi-Lagrangian (CASL) algorithm (Dritschel & Ambaum, 1997, 2006). The extension, called ‘HyperCASL’ (HCASL), uses Lagrangian advection of material potential vorticity contours like CASL, but a Vortex-In-Cell (VIC) method for
Experimental and Numerical Study of Confined Coaxial Turbulent Jets
The turbulent mixing of a primary jet and its surrounding fluid in a pipe with inlet conditions that result in flow separation is studied. Detailed profiles of the axial mean and rms velocities have been measured with a laser Doppler anemometer. Measured spectra of axial velocity