A parallelized upwind flux splitting scheme for supersonic reacting flows on hybrid meshes is presented. The complexity of super/hyper-sonic combustion flows makes it necessary to establish solvers with higher resolut...A parallelized upwind flux splitting scheme for supersonic reacting flows on hybrid meshes is presented. The complexity of super/hyper-sonic combustion flows makes it necessary to establish solvers with higher resolution and efficiency for multi-component Euler/N-S equations. Hence, a spatial second-order van Leer type flux vector splitting scheme is established by introducing auxiliary points in interpolation, and a domain decomposition method used on unstructured hybrid meshes for obtaining high calculating efficiency. The numerical scheme with five-stage Runge-Kutta time step method is implemented to the simulation of combustion flows, including the supersonic hydrogen/air combustion and the normal injection of hydrogen into reacting flows. Satisfying results are obtained compared with limited references.展开更多
The parallel computation schemes are presented for the simulation model of the linear constant-coefficient subsystem in the application of the combination methods. For the simulation model and the related digital net,...The parallel computation schemes are presented for the simulation model of the linear constant-coefficient subsystem in the application of the combination methods. For the simulation model and the related digital net, the formulas of the frequency response to the complex exponential inputs are derived.展开更多
A parallel embedding overlapped iterative (EOI) algorithm about classicimplicit equations with asymmetric Saul'yev schemes (CIS-EOI) to solve one-dimensional diffusionequations is discussed to improve the properti...A parallel embedding overlapped iterative (EOI) algorithm about classicimplicit equations with asymmetric Saul'yev schemes (CIS-EOI) to solve one-dimensional diffusionequations is discussed to improve the properties of the segment classic implicit iterative (SCII)algorithm. The structure of CIS-EOI method is given and the stability of scheme and convergence ofiteration are proved by matrix method. The property of gradual-approach convergence is alsodiscussed. It has been shown that the convergent rate is faster and the property of gradual-approachconvergence also becomes better with the increasing of the net point in subsystems than with theSCII algorithm. The simulation examples show that the parallel iterative algorithm with a differentinsertion scheme CIS-EOI is more effective.展开更多
In this paper, we take the equation ut = uxx for example, and give a practical difference scheme with intrinsic parallelism, which is based on an implicit scheme inside boundary layers and an explicit scheme on them. ...In this paper, we take the equation ut = uxx for example, and give a practical difference scheme with intrinsic parallelism, which is based on an implicit scheme inside boundary layers and an explicit scheme on them. At the same time, the supper-time-stepping algorithm is presented. It can significantly increase the performance of the difference scheme with intrinsic parallelism by reducing the restrictive timestep limits that exist. It is obviously that this scheme is advantageous to parallel computing. We prove its stability, and also give its results of numerical experiments.展开更多
文摘A parallelized upwind flux splitting scheme for supersonic reacting flows on hybrid meshes is presented. The complexity of super/hyper-sonic combustion flows makes it necessary to establish solvers with higher resolution and efficiency for multi-component Euler/N-S equations. Hence, a spatial second-order van Leer type flux vector splitting scheme is established by introducing auxiliary points in interpolation, and a domain decomposition method used on unstructured hybrid meshes for obtaining high calculating efficiency. The numerical scheme with five-stage Runge-Kutta time step method is implemented to the simulation of combustion flows, including the supersonic hydrogen/air combustion and the normal injection of hydrogen into reacting flows. Satisfying results are obtained compared with limited references.
文摘The parallel computation schemes are presented for the simulation model of the linear constant-coefficient subsystem in the application of the combination methods. For the simulation model and the related digital net, the formulas of the frequency response to the complex exponential inputs are derived.
文摘A parallel embedding overlapped iterative (EOI) algorithm about classicimplicit equations with asymmetric Saul'yev schemes (CIS-EOI) to solve one-dimensional diffusionequations is discussed to improve the properties of the segment classic implicit iterative (SCII)algorithm. The structure of CIS-EOI method is given and the stability of scheme and convergence ofiteration are proved by matrix method. The property of gradual-approach convergence is alsodiscussed. It has been shown that the convergent rate is faster and the property of gradual-approachconvergence also becomes better with the increasing of the net point in subsystems than with theSCII algorithm. The simulation examples show that the parallel iterative algorithm with a differentinsertion scheme CIS-EOI is more effective.
文摘In this paper, we take the equation ut = uxx for example, and give a practical difference scheme with intrinsic parallelism, which is based on an implicit scheme inside boundary layers and an explicit scheme on them. At the same time, the supper-time-stepping algorithm is presented. It can significantly increase the performance of the difference scheme with intrinsic parallelism by reducing the restrictive timestep limits that exist. It is obviously that this scheme is advantageous to parallel computing. We prove its stability, and also give its results of numerical experiments.
