Meshfree Collocation Framework for Multi-Phase Coupling Nonlinear Dynamic System in a Porous Enclosure

Judy P. Yang*, Heng Chun Chang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This study is aimed at establishing an effective incremental-iterative framework, for the first time, using reproducing kernel collocation method for solving multi-phase dynamic coupling problems in a porous enclosure. The central difference method is utilized in the temporal discretization while direct collocation with reproducing kernel approximation is adopted in the spatial discretization, in particular, with Newton-Raphson method for nonlinear iteration. Under the proposed numerical framework, a determined and well-conditioned nonlinear system is ensured during nonlinear iteration. In addition to the traditional mesh-based weak-form methods, it is shown that the present study provides an alternative effective approach to solve unsteady-state double-diffusive convection problems.

Original languageEnglish
Article number2271004
JournalInternational Journal of Structural Stability and Dynamics
Volume22
Issue number15
DOIs
StatePublished - 2022

Keywords

  • central difference method
  • direct collocation
  • double-diffusive convection
  • Multi-phase coupling
  • Newton-Raphson method
  • reproducing kernel approximation

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