Computing positive stable numerical solutions of moving boundary problems for concrete carbonation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:330

Article

Piqueras, M. -A.¹  Company, R.¹  Jodar, L.¹ 

[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Camino Vera S-N, E-46022 Valencia, Spain

关键词: Free-boundary problem;    Concrete carbonation;    Numerical analysis;    Computing;    Front-fixing transformation;   

DOI  :  10.1016/j.cam.2017.03.007

来源: Elsevier

【 摘 要 】

This paper deals with the construction and computation of numerical solutions of a coupled mixed partial differential equation system arising in concrete carbonation problems. The moving boundary problem under study is firstly transformed in a fixed boundary one, allowing the computation of the propagation front as a new unknown that can be computed together with the mass concentrations of CO2 in air and water. Apart from the stability and the consistency of the numerical solution, constructed by a finite difference scheme, qualitative properties of the numerical solution are established. In fact, positivity of the concentrations, increasing properties of the propagation front and monotone behavior of the solution are proved. We also confirm numerically the root t-law of propagation. Results are illustrated with numerical examples. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free