Date written: December 2018
As part of the final project for ME 614 (Computational Fluid Dynamics) at Purdue University taught by Professor Scalo of the Mechanical Engineering department.
Solves the 2D compressible Navier-Stokes equations using finite-difference with a staggered grid arrangement to simulate acoustic waves in a doubly periodic domain. For more details, please refer to the report by clicking here.
The pressure fluctuations of acoustic waves in a doubly periodic domain are shown below.
Below illustrates the expected 2nd-order convergence of the staggered finite-difference scheme is acheived.
The grid arrangement for x-velocity, y-velocity, and passive scalars are shown below, respectfully.
The sparsity pattern for the finite-difference operators for the x-momentum, y-momentum, and energy equations are shown below, respectfully.
