The transition between regular reflection （RR） and Mach reflection （MR） of type V shock-shock interaction on a double-wedge geometry with high temperature non-equilibrium effects is investigated by extended shock-...The transition between regular reflection （RR） and Mach reflection （MR） of type V shock-shock interaction on a double-wedge geometry with high temperature non-equilibrium effects is investigated by extended shock-polar method and numerical simulation. First, the critical angles of transition from detachment criterion and yon Neumann criterion are determined by the extended shock-polar method considering the non-equilibrium effects. Then wave patterns and the transition process are numerically obtained. Results of the critical transition angles from shock-polar calculation and numerical simulation show evident disagreement, indicating transition mechanism between RR and MR of type V interaction is changed. By comparing with the frozen counterpart, it is also found that non-equilibrium effects lead to a larger critical wedge angle and a larger hysteresis interval.展开更多
In this paper,we consider the scattering problem of time-harmonic electromagnetic waves from an infinite cylinder having an open arc Γ and a bounded domain D in R^2 as cross section.We focus on the inverse scattering...In this paper,we consider the scattering problem of time-harmonic electromagnetic waves from an infinite cylinder having an open arc Γ and a bounded domain D in R^2 as cross section.We focus on the inverse scattering problem,that is,to reconstruct the shape of Γ and D from the far-field pattern by using the factorization method.Through establishing a mixed reciprocity relation,we prove that the scatters Γ and D can be uniquely determined by the far-field pattern.Furthermore,the mathematical basis is given to explain that the factorization method is feasible to our problem.At the end of this paper,we give some numerical examples to show the efficaciousness of the algorithms.展开更多
文摘The transition between regular reflection （RR） and Mach reflection （MR） of type V shock-shock interaction on a double-wedge geometry with high temperature non-equilibrium effects is investigated by extended shock-polar method and numerical simulation. First, the critical angles of transition from detachment criterion and yon Neumann criterion are determined by the extended shock-polar method considering the non-equilibrium effects. Then wave patterns and the transition process are numerically obtained. Results of the critical transition angles from shock-polar calculation and numerical simulation show evident disagreement, indicating transition mechanism between RR and MR of type V interaction is changed. By comparing with the frozen counterpart, it is also found that non-equilibrium effects lead to a larger critical wedge angle and a larger hysteresis interval.
基金the National Naturel Science Foundation(NNSF)of China grant 11601138NNSF of China grant 11571132.
文摘In this paper,we consider the scattering problem of time-harmonic electromagnetic waves from an infinite cylinder having an open arc Γ and a bounded domain D in R^2 as cross section.We focus on the inverse scattering problem,that is,to reconstruct the shape of Γ and D from the far-field pattern by using the factorization method.Through establishing a mixed reciprocity relation,we prove that the scatters Γ and D can be uniquely determined by the far-field pattern.Furthermore,the mathematical basis is given to explain that the factorization method is feasible to our problem.At the end of this paper,we give some numerical examples to show the efficaciousness of the algorithms.
