Study of new accurate supplementary energy modeling with multi- components based on newly developed high resolution scheme

摘要

In this work, we developed a code of finite volume method for 1D unsteady Euler equations to carry out the flow field problem due to moving contact discontinuity interface between two different species on both sides of the shock tube. The derived additional energy conservation equation would produce a non-conservative term. It is important to reduce the non-physical numerical oscillation problem and improve the capturing-shock ability and computing accuracy of high resolution problem. This study focuses on the following two parts. The first part, we expanded the energy equation of unsteady Euler equations into the form of i species. Further, we verified the feasibility and reliability of the new numerical energy model under the dual-species condition, and then we executed a series of systematic research to carry out the some experimental verification. Moreover, we adopted the most suitable numerical scheme for new Model B-3 and validated with the old energy model. Second, we developed 9 new models of flux limiter and validated these limiters through the condition of dual species.For the validated results, the new energy Model B-3 can effectively improve the numerical oscillations and capture phenomenon quite well, which just adopt the lower-order difference method. The validated results of new developed limiter models show that their capturing effects of some limiters are very well.