Numerical Schemes for Multi Phase Quadrature Domains
نویسنده
چکیده
In this work, numerical schemes to approximate the solution of one and multi phase quadrature domains are presented. We shall construct a monotone, stable and consistent finite difference method for both one and two phase cases, which converges to the viscosity solution of the partial differential equation arising from the corresponding quadrature domain theory. Moreover, we will discuss the numerical implementation of the resulting approach and present computational tests.
منابع مشابه
Sensitivity Analysis of Different Convection Schemes and Center Domains for Numerical Simulation of Winter Precipitation Over Iran
This paper qualifies the effect of different convection schemes and center-domains on the simulation of winter precipitation over Iran using RegCM3 numerical climate model. It is compressible, finite difference with hydrostatic equilibrium in sigma coordinate with a semi-implicit algorithm for reduction of horizontal diffusion. Iran experienced two dry and wet periods during winters of 1997 and...
متن کاملNumerical Computation Of Multi-Component Two-Phase Flow in Cathode Of PEM Fuel Cells
A two-dimensional, unsteady, isothermal and two-phase flow of reactant-product mixture in the air-side electrode of proton exchange membrane fuel cells (PEMFC) is studied numerically in the present study. The mixture is composed of oxygen, nitrogen, liquid water and water vapor. The governing equations are two species conservation, a single momentum equation for mobile mixture, liquid mass cons...
متن کاملNumerical Investigation on Compressible Flow Characteristics in Axial Compressors Using a Multi Block Finite Volume Scheme
An unsteady two-dimensional numerical investigation was performed on the viscous flow passing through a multi-blade cascade. A Cartesian finite-volume approach was employed and it was linked to Van-Leer's and Roe's flux splitting schemes to evaluate inviscid flux terms. To prevent the oscillatory behavior of numerical results and to increase the accuracy, Monotonic Upstream Scheme for Conservat...
متن کاملIQ Imbalances Effects on the Performance of Combining Schemes in MIMO-OFDM Wireless Communications
Orthogonal frequency division multiplexing (OFDM) is a modulation scheme widely used in high speed communications. Since multi-input multi-output (MIMO) antennas can increase the reliability of the data communications, the combination of these two techniques called MIMO-OFDM is a good suggestion for reliable high speed communications. However, these systems suffer from in-phase and quadrature-p...
متن کاملAnalysis and Applications of the Exponential Time Differencing Schemes and Their Contour Integration Modifications
We study in this paper the exponential time differencing (ETD) schemes and their modifications via complex contour integrations for the numerical solutions of parabolic type equations. We illustrate that the contour integration shares an added advantage of improving the stability of the time integration. In addition, we demonstrate the effectiveness of the ETD type schemes through the numerical...
متن کامل