Implicit gradient reconstruction (IGR) method for compressible flow simulation

15th Asian Congress of Fluid Mechanics

物理学;力学

Singh, Manish K.^1,2 ; Munikrishna, N.^3 ; Ramesh, V.^1 ; Balakrishnan, N.^2

Council of Scientific and Industrial Research-National Aerospace Laboratories, Bangalore, India^1

Indian Institute of Science, Bangalore, India^2

S and i Engineering Solution Pvt. Ltd., Bangalore, India^3

关键词: Additional costs;    Central difference;    First-order formulas;    Flux computation;    Implicit gradient;    Seamless integration;    Second-order accuracy;    Solution reconstruction;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/822/1/012030/pdf
DOI  :  10.1088/1742-6596/822/1/012030

学科分类：力学，机械学

来源: IOP

【 摘 要 】

The classical CIR scheme is modified by introducing a φ parameter which allows an explicit control of dissipation. Also, this permits a seamless integration of the upwind and central difference based schemes. It is demonstrated that the φ parameter can be linked to solution reconstruction and thus second order accuracy can be achieved effectively with a first order formula. An objective way of determining φ based on solution gradients on the volume interface is established. These gradients in turn are also used for viscous flux computation and therefore come at no additional cost. The efficacy of the proposed methodology is established by solving a number of standard test problems, both in 1D and 2D.