iodides 发表于 2025-3-30 11:14:31
The GRP Treatment of 2-D Complex Wave Structures of fluid dynamics, the 1-D equations admit two types of discontinuous waves — a shock discontinuity and a contact discontinuity. When fluid dynamics in two space dimensions is considered, even for the simplified “Riemann-type” problems (where the data are piecewise constant in sectors of the plane)hermetic 发表于 2025-3-30 13:29:42
A Supplement to Entropy Conditiondge with the vertex angle less than a critical value, there will be a plain shock front attached at the edge of the wedge. The location of the shock can be determined by the intersection of the ray with a given angle and the shock polar determined by the parameters of the coming flow. However, in moAqueous-Humor 发表于 2025-3-30 18:34:06
http://reply.papertrans.cn/44/4306/430598/430598_53.pngInfuriate 发表于 2025-3-30 23:08:35
Asymptotic Convergence to Diffusive Wave of Bipolar Hydrodynamical Model for Semiconductors, . and . denote the densities, current densities, and electric field respectively, . and . are the pressure-density functions which satisfy.And τ. > 0, τ. > 0 are the momentum relaxation times, λ is the re-scaled Debye number. The device domain is chosen to be the whole real line. The equations (l)HERTZ 发表于 2025-3-31 01:19:20
Simplification. Conservation and Adaptivity in the Front Tracking Methodontains discontinuities such as contact discontinuities and shocks. The former exist even in linear equations when the initial condition is discontinuous. The latter are associated with the nonlinearity of the hyperbolic system. Finite difference and finite volume methods give a satisfactory numeric彩色 发表于 2025-3-31 08:13:37
Discrete Adjoint Approximations with Shocks. [., .]). In almost every case, the adjoint equations have been formulated under the assumption that the original nonlinear flow solution is smooth. Since most applications have been for incompressible or subsonic flow, this has been valid, however there is now increasing use of such techniques in颠簸下上 发表于 2025-3-31 12:20:49
http://reply.papertrans.cn/44/4306/430598/430598_57.png