An implicit cell-centered Lagrange-Remap scheme for all speed flows

Mingyu Sun

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


A second-order time-accurate implicit scheme is constructed for the Lagrange-Remap (LR) strategy. The numerical flux is given by the simple acoustic Riemann solver. The Riemann solver is modified by introducing a scaling coefficient so that the scheme can deal with very subsonic (low Mach) flows as well as supersonic flows. The Lagrange step solves implicitly the hyperbolic equations of pressure and velocities under the isentropic assumption by the trapezoidal time integration method. The new LR scheme maintains exactly the conservation of mass, momentum and energy, and it is general for materials with any equation of state. Numerical tests show that the LR scheme using the simple but general Riemann solver can resolve shock waves sharply for supersonic flows, and resolve well the acoustic waves in low Mach number flows as low as M= 0.001.

Original languageEnglish
Pages (from-to)397-405
Number of pages9
JournalComputers and Fluids
Publication statusPublished - 2014 Jun 13


  • Acoustic Riemann solver
  • All speed
  • Lagrange scheme
  • Lagrange-Remap
  • Low Mach number

ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)


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