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Vertically averaged multi-constituent flow simulations of geological CO2 sequestration — Stabilized finite element methods and quadratic elements

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  • Ladubec, Chris
  • Gracie, Robert

Abstract

This paper compares several stabilized Finite Element Methods (FEMs) at solving the vertically averaged multi-constituent flow for CO2 sequestration. Non-physical oscillations can occur when using the Galerkin FEM. Linear elements have been previously studied and are not able to provide a complete representation of the stabilization term in the consistent stabilized FEMs. Quadratic elements solve this problem and also allow additional formulations to be compared.

Suggested Citation

  • Ladubec, Chris & Gracie, Robert, 2025. "Vertically averaged multi-constituent flow simulations of geological CO2 sequestration — Stabilized finite element methods and quadratic elements," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 235(C), pages 114-131.
    • Handle: RePEc:eee:matcom:v:235:y:2025:i:c:p:114-131
    DOI: 10.1016/j.matcom.2025.03.023
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    References listed on IDEAS

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    1. Zhou, Guo & Wang, Tiantian & Jiang, Chen & Shi, Fangcheng & Zhang, Lei & Wang, Yu & Yang, Buyao, 2024. "A coupled smoothed finite element method and Lagrangian particle tracking model for three-dimensional dilute particle-laden flows," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    2. Xiao, Ting & Chen, Ting & Ma, Zhiwei & Tian, Hailong & Meguerdijian, Saro & Chen, Bailian & Pawar, Rajesh & Huang, Lianjie & Xu, Tianfu & Cather, Martha & McPherson, Brian, 2024. "A review of risk and uncertainty assessment for geologic carbon storage," Renewable and Sustainable Energy Reviews, Elsevier, vol. 189(PB).
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