Service life of RC seawall under chloride invasion: A theoretical model incorporating convection-diffusion effect

Lai, Ning; Li, Lin; Yang, Changyi; Li, Jingpei

doi:10.1016/j.oceaneng.2023.114590

Cited by 6 publications

(1 citation statement)

References 54 publications

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“…The convection-reaction-diffusion (CRD) equation holds significant importance in the field of fluid mechanics as it serves as a model that captures the interconnected processes of convection, reaction, and diffusion. This equation proves instrumental in elucidating various natural phenomena such as alterations in liquid pollutants upon discharge into rivers, the durability of reinforced concrete in seawater [1], and heat conduction, among others. However, certain practical phenomena frequently manifest in irregular domains, including biological films, pattern formation [2,3], surfactant transportation [4], evolution of colonies on irregular surfaces [5], and cell migration [6,7].…”

Section: Introductionmentioning

confidence: 99%

Modified Characteristic Finite Element Method with Second-Order Spatial Accuracy for Solving Convection-Dominated Problem on Surfaces

Wu,

Feng,

2023

Entropy

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We present a modified characteristic finite element method that exhibits second-order spatial accuracy for solving convection–reaction–diffusion equations on surfaces. The temporal direction adopted the backward-Euler method, while the spatial direction employed the surface finite element method. In contrast to regular domains, it is observed that the point in the characteristic direction traverses the surface only once within a brief time. Thus, good approximation of the solution in the characteristic direction holds significant importance for the numerical scheme. In this regard, Taylor expansion is employed to reconstruct the solution beyond the surface in the characteristic direction. The stability of our scheme is then proved. A comparison is carried out with an existing characteristic finite element method based on face mesh. Numerical examples are provided to validate the effectiveness of our proposed method.

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