Some observations regarding the stationary Buckley–Leverett equation

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-05-27 DOI:10.1016/j.aml.2025.109621

G.M. Coclite , K.H. Karlsen , N.H. Risebro

引用次数: 0

Abstract

The basic hyperbolic–elliptic black-oil model describes oil–water displacement in a porous medium. Given its mathematical complexity, there is a need for particular simple solutions for validation of numerical methods. We present a class of stationary solutions, which are easy to compute, and in many cases are given by explicit formulae. These solutions are constructed by a nonlinear coupling of two linear equations, an elliptic pressure equation and a hyperbolic saturation equation.

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关于稳态巴克利-莱弗里特方程的一些观察

基本的双曲椭圆黑油模型描述了多孔介质中的油水驱替。考虑到其数学复杂性，需要特定的简单解来验证数值方法。我们提出了一类易于计算的平稳解，在许多情况下由显式公式给出。这些解是由两个线性方程，一个椭圆压力方程和一个双曲饱和方程的非线性耦合构造的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.