A higher-order implicit IDO scheme and its CFD application to local mesh refinement method

摘要: The Interpolated Differential Operator (IDO) scheme has been developed for the numerical solution of fluid motion equations, and allows to produce highly accurate results by introducing spatial derivative physical value as an additional dependent variable. For incompressible flows, semi-implicit time integration is strongly affected Courant diffusion number limitation. A high-order fully-implicit IDO presented, two-stage implicit Runge-Kutta keeps over third-order accuracy. application method direct simulation turbulence demonstrates that proposed retains a resolution comparable spectral methods even relatively large numbers. further applied Local Mesh Refinement (LMR) method, where size step often restricted dimension smallest meshes. In computation Karman vortex street problem, with LMR shown allow conspicuous saving computational resources.