Development and Acceleration of Unstructured Mesh-based Cfd Solver

The study was undertaken as part of a larger e ̈ort to establish a common computational §uid dynamics (CFD) code for simulation of internal and external §ows and involves some basic validation studies. The governing equations are solved with ¦nite volume code on unstructured meshes. The computational procedure involves reconstruction of the solution in each control volume and extrapolation of the unknowns to ¦nd the §ow variables on the faces of control volume, solution of Riemann problem for each face of the control volume, and evolution of the time step. The nonlinear CFD solver works in an explicit time-marching fashion, based on a three-step Runge€Kutta stepping procedure. Convergence to a steady state is accelerated by the use of geometric technique and by the application of Jacobi preconditioning for high-speed §ows, with a separate low Mach number preconditioning method for use with low-speed §ows. The CFD code is implemented on graphics processing units (GPUs). Speedup of solution on GPUs with respect to solution on central processing units (CPU) is compared with the use of di ̈erent meshes and di ̈erent methods of distribution of input data into blocks. The results obtained provide promising perspective for designing a GPU-based software framework for applications in CFD.