A realizable second-order advection method with variable flux limiters for moment transport equations

被引：0

作者：

Choi, Byeongyeob ^{[1
]}

Baek, Jehyun ^{[1
]}

You, Donghyun ^{[1
]}

机构：

[1] Pohang Univ Sci & Technol, Dept Mech Engn, 77 Cheongam Ro, Pohang 37673, Gyeongbuk, South Korea

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2023年 / 473卷

基金：

新加坡国家研究基金会;

关键词：

Population balance equation (PBE); Quadrature-based moment methods; Moment transport equation; Moment realizability; Total variation diminishing (TVD); Finite volume method; POPULATION BALANCE-EQUATIONS; FINITE-VOLUME SCHEMES; QUADRATURE METHOD; STABILITY;

D O I：

10.1016/j.jcp.2022.111767

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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 the conventional second-order TVD schemes to the moment transport equations. In the present method, a realizable moment set at a cell face is reconstructed by allowing the flexible selection of the flux limiter values within the second-order TVD region. Necessary conditions for the variable flux limiter scheme to simultaneously satisfy the realizability and the second-order TVD property for the third-order moment set are proposed. The strategy for satisfying the second-order TVD property is conditionally extended to the fourth-and fifth-order moments. The proposed method is verified and compared with other high-order realizable schemes in one-and two-dimensional configurations, and is found to preserve the realizability of moments while satisfying the high-order TVD property for the third-order moment set and conditionally for the fourth- and fifth-order moments. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：26

共 27 条

[21] Results of the International Wet Steam Modeling Project [J].