A realizable second-order advection method with variable flux limiters for moment transport equations
نویسندگان
چکیده
A second-order total variation diminishing (TVD) method with variable flux limiters is proposed to overcome the non-realizability issue, which has been one of major obstacles in applying conventional TVD schemes moment transport equations. In present method, a realizable set at cell face reconstructed by allowing flexible selection limiter values within region. Necessary conditions for scheme simultaneously satisfy realizability and property third-order are proposed. The strategy satisfying conditionally extended fourth- fifth-order moments. verified compared other high-order one- two-dimensional configurations, found preserve moments while
منابع مشابه
Second Order Positive Schemes by means of Flux Limiters for the Advection Equation
In this paper, we study first and second order positive numerical methods for the advection equation. In particular, we consider the direct discretization of the model problem and comment on its superiority to the so called method of lines. Moreover, we investigate the accuracy, stability and positivity properties of the direct discretization. The numerical results related to several test probl...
متن کاملVanishing Moment Method and Moment Solutions for Fully Nonlinear Second Order Partial Differential Equations
This paper concerns with numerical approximations of solutions of fully nonlinear second order partial differential equations (PDEs). A new notion of weak solutions, called moment solutions, is introduced for fully nonlinear second order PDEs. Unlike viscosity solutions, moment solutions are defined by a constructive method, called the vanishing moment method, and hence, they can be readily com...
متن کاملDiscrete Galerkin Method for Higher Even-Order Integro-Differential Equations with Variable Coefficients
This paper presents discrete Galerkin method for obtaining the numerical solution of higher even-order integro-differential equations with variable coefficients. We use the generalized Jacobi polynomials with indexes corresponding to the number of homogeneous initial conditions as natural basis functions for the approximate solution. Numerical results are presented to demonstrate the effectiven...
متن کاملSecond-order Slope Limiters for the Simultaneous Linear Advection of (not So) Independent Variables
We propose a strategy to perform second-order enhancement using slope-limiters for the simultaneous linear advection of several scalar variables. Our strategy ensures a discrete min-max principle not only for each variable but also for any number of non-trivial combinations of them, which represent control variables. This problem arises in fluid mechanics codes using the Arbitrary Lagrange-Eule...
متن کاملA NEW MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING LINEAR SECOND-ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
In this paper, we tried to accelerate the rate of convergence in solving second-order Fredholm type Integro-differential equations using a new method which is based on Improved homotopy perturbation method (IHPM) and applying accelerating parameters. This method is very simple and the result is obtained very fast.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2023
ISSN: ['1090-2716', '0021-9991']
DOI: https://doi.org/10.1016/j.jcp.2022.111767