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Temporal and spatial discretization on quasi-3-D groundwater finite element modelling to avoid spurious oscillation

Authors
Journal
Journal of Hydrodynamics Ser B
1001-6058
Publisher
Elsevier
Publication Date
Volume
19
Issue
1
Identifiers
DOI: 10.1016/s1001-6058(07)60030-4
Keywords
  • Temporal And Spatial Discretization
  • Spurious Oscillation
  • Finite Element Solution
  • Quasi-3-D Groundwater Flow Models
Disciplines
  • Mathematics

Abstract

Abstract In this article, the finite element solution of quasi-three-dimensional (quasi-3-D) groundwater flow was mathematically analyzed. The research shows that the spurious oscillation solution to the Finite Element Model (FEM) is the results choosing the small time step Δ t or the large element size L and using the non-diagonal storage matrix. The mechanism for this phenomenon is explained by the negative weighting factor of implicit part in the discretized equations. To avoid spurious oscillation solution, the criteria on the selection of Δ t and L for quasi-3-D groundwater flow simulations were identified. An application example of quasi-3-D groundwater flow simulation was presented to verify the criteria. The results indicate that temporal discretization scale has significant impact on the spurious oscillations in the finite-element solutions, and the spurious oscillations can be avoided in solving practical quasi-3D groundwater flow problems if the criteria are satisfied.

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