Characteristic fractional step finite difference method for nonlinear section coupled system
  • 万方数据
    应用数学和力学（英文版） 응용수학화역학（영문판）
    APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION)
    2014年 10期 1311-1330 ,共20页

    袁益让%李长峰%孙两军%刘允欣

    원익양%리장봉%손량군%류윤흔



    three-dimensional section coupled system%complete nonlinear equation%characteristic fractional step%convergence%numerical simulation


    For the section coupled system of multilayer dynamics of fluids in porous media, a parallel scheme modified by the characteristic finite difference fractional steps is proposed for a complete point set consisting of coarse and fine partitions. Some tech-niques, such as calculus of variations, energy method, twofold-quadratic interpolation of product type, multiplicative commutation law of difference operators, decomposition of high order difference operators, and prior estimates, are used in theoretical analysis. Optimal order estimates in l2 norm are derived to show accuracy of the second order approximation solutions. These methods have been used to simulate the problems of migration-accumulation of oil resources.
    원문보기 원문다운로드 사이트로이동
저자의 최근 논문