An explicit, positivity-preserving flux-corrected transport scheme for the transport equation using continuous finite elements Conference Paper uri icon


  • Entropy viscosity, in conjunction with flux-corrected transport (FCT), is applied to a Pi continuous finite element (CFEM) discretization of the time-dependent transport equation to produce a positivity-preserving scheme that satisfies a local discrete maximum principle. Fully explicit time discretizations are employed, including explicit Euler and strong-stability-preserving Runge-Kutta (SSPRK) schemes such as the 3-stage, 3rd-order-accurate Shu-Osher scheme (SSPRK33). These explicit time discretizations require that a CFL condition be satisfied, making many practical simulations prohibitively expensive; however, this research is intended to be extended to implicit time discretizations and steady-state simulations, where CFL conditions do not apply. Results are presented for 1-D test problems.

published proceedings

  • Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015

author list (cited authors)

  • Hansel, J., Ragusa, J., & Guermond, J. L.

complete list of authors

  • Hansel, J||Ragusa, J||Guermond, JL

publication date

  • January 2015