Linear Forcing of Compressible Isotropic Turbulence in Rectangular Domains with Adapted Locally Refined Grids

This study investigates the applicability of the linear forcing method at rectangular domains with an adapted grid via local refinement. The advantages of the linear forcing method, using in a physical space solver for combustion simulations, are discussed. We present test cases for the different modifications of the forcing term and the major drawbacks occurring when using non-cubic domains. The use of a filtered velocity field within the forcing term is investigated, first as a solution for the described problems with rectangular domains and second as an attractive method to control the integral length scale of the turbulent field. Finally, we present results for various DNS computations in preparation for future studies of turbulence-flame interactions, and a few statistical properties of the turbulence are discussed.