A New Multi-dimensional Upwind Scheme for Incompressible Flow and Heat Transfer Simulation

A. Rostamzadeh, S. E. Razavi, S. M. Mirsajedi


A new multidimensional artificially characteristic-based (MACB) scheme for simulation of incompressible viscous flows with heat transfer is presented. For the first time, multidimensional characteristic relations for energy propagation in incompressible flow are derived. According to new scheme, two-dimensional flow with heat transfer in a square cavity is solved for a wide range of Reynolds and Grashof numbers. To evaluate the proposed scheme, the characteristic-based (CB) scheme and energy equation are solved and compared. A remarkable faster convergence of MACB in comparison to CB was found. The computed results with MACB scheme are in good agreement with the benchmark solutions.



Incompressible flow, Multidimensional artificially characteristic-based (MACB), Navier-Stokes equations, Heat transfer, Square cavity.

Full Text:



  • There are currently no refbacks.