Large eddy simulation of incompressible free round jet with discontinuous Galerkin method

作者：Marek M^*; Tyliszczak A; Boguslawski A

来源：International Journal for Numerical Methods in Fluids, 2015, 79(4): 164-182.

DOI：10.1002/fld.4043

• LES
• discontinuous Galerkin
• high-order methods
• incompressible flow
• turbulent jet

In the paper, discontinuous Galerkin method is applied to simulation of incompressible free round turbulent jet using large eddy simulation with eddy viscosity approach. The solution algorithm is based on the classical projection method, but instead of the solution of the Poisson equation, a parabolic equation is advanced in pseudo-time, which provides the pressure field ensuring the proper pressure-velocity coupling. For time and pseudo-time integration, explicit Runge-Kutta method is employed. The computational meshes consist of hexahedral elements with flat faces. Within a given finite element, all flow variables are expressed with modal expansions of the same order (including velocity and pressure). Discretisation of the viscous terms in the Navier-Stokes equations and Laplacian in the Poisson equation is stabilised with mixed finite element approach. The correctness of the solution algorithm is verified in a commonly used test case of laminar flow in 3D lid-driven cavity. The results of computations of the free jet are compared with experimental and numerical reference data, the latter obtained from the high-order pseudospectral code. The statistics of centerline flow velocity - mean velocity and its fluctuations - show satisfactory agreement with the reference data.

• 出版日期2015-10-10