Analysis of a splitting method for incompressible inviscid rotational flow problems

Chiung Chiou Tsai, Suh Yuh Yang

Research output: Contribution to journalArticlepeer-review


This paper is devoted to analyze a splitting method for solving incompressible inviscid rotational flows. The problem is first recast into the velocity-vorticity-pressure formulation by introducing the additional vorticity variable, and then split into three consecutive subsystems. For each subsystem, the L2 least-squares finite element approach is applied to attain accurate numerical solutions. We show that for each time step this splitting least-squares approach exhibits an optimal rate of convergence in the H1 norm for velocity and pressure, and a suboptimal rate in the L2 norm for vorticity. A numerical example in two dimensions is presented, which confirms the theoretical error estimates.

Original languageEnglish
Pages (from-to)364-376
Number of pages13
JournalJournal of Computational and Applied Mathematics
Issue number1
StatePublished - 1 Mar 2007


  • Finite element methods
  • Incompressible inviscid rotational flows
  • Least squares
  • Velocity-vorticity-pressure formulation


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