Computations using the preconditioning BI-CGSTAB algorithm in chemical non-equilibrium problems

A robust method for solving the chemical non-equilibrium Navier–Stokes equations, including all of the species conservation and energy production equations, is developed. The algorithm is embodied in a fully coupled, implicit, large block structure. Van Leer flux splitting for inviscid terms and central differencing for viscous terms in the explicit operators are applied in the numerical algorithm. The fully-coupled system is solved implicitly and the bi-conjugate gradient stable (Bi-CGSTAB) method with a preconditioner of incomplete lower–upper (LU)-factorization (ILU) is used for solving large block structure and diagonal dominate matrix equations. The computations are performed for the hypersonic inflow over blunt bodies including half cylinder, double ellipse and blunt nose. The adaptive grid constructed by moving grid method is employed to capture the shock location. Computational results in the present study are compared with other calculated data and exhibit good agreement. Convergence histories of the mean flow variables and species equations demonstrate that the fast convergent rate can be achieved by the preconditioned Bi-CGSTAB method. © 1998 John Wiley & Sons, Ltd.     

多孔石墨烯纳米带各向异性和超低热导的理论研究

利用非平衡格林函数方法研究了多孔石墨烯纳米带的热输运性质.结果表明,由于纳米孔洞的存在,多孔石墨烯纳米带的热导远低于石墨烯纳米带的热导.室温下,锯齿型多孔石墨烯纳米带的热导仅为相同尺寸锯齿型石墨烯纳米带热导的12％.这是由于多孔石墨烯纳米带中的纳米孔洞导致的声子局域化引起的.另外,多孔石墨烯纳米带的热导具有显著的各向异...