Spline-Characteristic Method for Simulation of Convective Turbulence

✍ Scribed by Andrei V. Malevsky

• Book ID: 102584904
• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 337 KB
• Volume: 123
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1996.0037

✦ Synopsis

method of characteristics [1] or a characteristic-Galerkin method [8]. In two-step characteristic (transport + diffu-This paper describes the spline-characteristic method, an algorithm for direct numerical simulation of incompressible, thermal sion) schemes [9, 10], the material is first transported and convection in which the method of characteristics has been comthen an elliptic problem is solved. According to this apbined with tricubic splines. The method of characteristics elimiproach, the advection-diffusion equation nates errors associated with large gradients of convected field and allows large time steps, and the splines provide an accurate spatial approximation. The proposed scheme is second-order in

time and fourth-order in space. The applications of the splinecharacteristic method to the vorticity-transport equation and to the Navier-Stokes equations in primitive variables in the framework of the projection method are discussed. This scheme can be effi-can be discretized with the finite elements as ciently parallelized and has been implemented on a distributedmemory, massively parallel computer, CM-5. The results are given for several test problems with different boundary conditions, both

in 2D and 3D.