The Modiied Method of Incomplete Characteristics for Convection-dominated Diiusion Problems
نویسنده
چکیده
This short note describes the modiied method of incomplete characteristics (MMOIC), a variant of the modiied method of characteristics (MMOC), which utilizes average uid velocities and requires no interpolation. So the computed solution can be more accurate. Numerical results will be added soon.
منابع مشابه
Stability and convergence of the spectral Lagrange-Galerkin method for mixed periodic/non-periodic convection-dominated di usion problems
We present a convergence analysis of the spectral Lagrange-Galerkin method for mixed periodic/non-periodic convection-diiusion problems. The scheme is unconditionally stable, independent of the diiusion coeecient, even in the case when numerical quadrature is used. The theoretical predictions are illustrated by a series of numerical experiments. For the periodic case, our results present a sign...
متن کاملOn the Stability of Residual-free Bubbles for Convection-diiusion Problems and Their Approximation by a Two-level Nite Element Method
We consider the Galerkin nite element method for partial diiferential equations in two dimensions, where the nite-dimensional space used consists of piecewise (isoparametric) polynomials enriched with bubble functions. Writing L for the diierential operator, we show that for elliptic convection-diiusion problems, the component of the bubble enrichment that stabilizes the method is equivalent to...
متن کاملConvergence Analysis of an Approximation for an Immiscible Displacement Problem by the Modiied Method of Characteristics with Adjusted Advection Preliminary Draft
The MMOC procedure for approximating the solutions of transport-dominated diiusion problems does not automatically preserve integral conservation laws, leading to (mass) balance errors in many kinds of ow problems. The variant, called the MMOCAA, discussed herein preserves the conservation law at a minor additional computational cost. The application of the MMOCAA to a problem in two-phase, imm...
متن کاملHp-finite Element Methods for Hyperbolic Problems A
This paper is devoted to the a priori and a posteriori error analysis of the hp-version of the discontinuous Galerkin nite element method for partial differential equations of hyperbolic and nearly-hyperbolic character. We consider second-order partial diierential equations with nonnegative characteristic form, a large class of equations which includes convection-dominated diiusion problems , d...
متن کاملA Characteristic Domain Splitting
This work treats a linear convection-diiusion problem. Diiusion and convection may be equally important or convection may dominate the problem. The method of characteristics is combined with an overlapping domain decomposition technique so that domain decomposition is naturally combined with the time stepping. In each time step, the algorithm rst determines the characteristic solution. Then a d...
متن کامل