Solving the Convective Transport Equation with Several High-Resolution Finite Volume Schemes: Test Computations

  • Alexander I. Khrabry
  • Evgueni M. Smirnov
  • Dmitry K. Zaytsev
Conference paper


Results of a comparative study of performance of three high-resolution schemes suggested in the literature for solving the convective transport equation are presented. Using an in-house finite-volume unstructured-grid code, extended computations were performed with the HRIC, CICSAM and M-CICSAM schemes for various two-dimensional test problems of species convection in a prescribed velocity field. Effects of the time discretization method, time step and computational grid on conservation of a species spot shape were analyzed. For all the test cases considered, M-CICSAM technique demonstrated its superiority over the other schemes examined.


Courant Number Interface Orientation Uniform Cartesian Grid Spot Boundary Explicit Time Discretization 



The work was partially supported by the Russian Foundation of Basic Research (grant 08-08-00977).


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Alexander I. Khrabry
    • 1
  • Evgueni M. Smirnov
    • 1
  • Dmitry K. Zaytsev
    • 1
  1. 1.St. Petersburg State Polytechnic UniversitySt. PetersburgRussia

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