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

Chris Ladubec and Robert Gracie

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 235, issue C, 114-131

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.

Keywords: Multi-constituent flow; Coupled PDEs; Non-linear advection; CO2 sequestration; Finite element method; Quadratic elements; Stabilization; SUPG; SU; LSFEM; SGS; GLS; HVM (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:235:y:2025:i:c:p:114-131

DOI: 10.1016/j.matcom.2025.03.023

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