A mass-weighed averaged second-order moment (MUSM) two-phase turbulence model is proposed. The volume fraction is used instead of particle number density. The particle relaxation time is used to close the dissipation term in the transport equation of two-phase fluctuation velocity correlation.
In this paper,the author study asymptotic behavior and blow up of solutions to the initial boundary value problem for a class of nonlinear hyperbolic equation with dissipation term.
The convection term and dissipation term in momentum equations are discretized using the third-order upwind compact scheme and the fourth-order central compact scheme, respectively and the Poisson equation for pressure is solved by normal second-order central scheme. The equation of the cylinders'motion can be solved easily using the Runge-Kutta method.
The N-S equation's convection term and dissipation term are discretized using the third-order upwind compact scheme and the fourth-order central compact scheme, respectively.
The N-S equation's convection term and dissipation term are discretized using the third-order upwind compact scheme and the fourth-order central compact scheme, respectively. A H-O type of non-stagger grid is adopted incorporating the DDM(Domain Decomposition Method).
N S方程的对流项和扩散项分别采用三阶迎风紧致格式和四阶中心紧致格式离散,计算网格采用H O非交错网格系统,并结合分块耦合方法。
FVM was used to discrete the governing equations,the second-order upwind difference scheme was adopted for the convection term and the centric difference scheme for the dissipation term.
3. after adding the dissipation term, the Nuler- Kraus type model can be used to study the modelling of intraseasonal time scale variations in the upper ocean.
The application of the meshfree methods are extended to non-Newtonian flow problems, which successfully simulate the heat transfer problem of flowing polymer melts. Temperature profiles are obtained for different tube lengths, comparied with the no viscous dissipation model, which shows that the temperature-dependent viscous dissipation term had significantly impact on the heat transfer, i.e., the temperature difference between the model with temperature-dependent power-law viscous dissipation and the model without viscous dissipation is about 64 °C.
Thus, in order to properly describe the propagation of a crack it is necessary to consider the rheological solid mechanically as a dissipature type media, and so in the global energy balance law must inclusion the rate-of-energy dissipation term which represent the behavior of rheological materials.
The paper discusses the different attributes of singularity induced bifurcation(SIB) between power system differential algebraic model(DAE) without dissipation term and with .
A study was done on the initial boundary value problem of fourth order nonlinear wave equation with dispersive and dissipation term u_(tt)-Δu-Δu_t-Δu_u=f(x),x∈Ω,t>0,u(x,0)=u_0(x),u_t(x,0)=u_1(x),x∈Ω,((u|_(Ω))=0), where Ω∈R~Nis a boundary domain.
Though previously, attempts were made to obtain similarity solutions of a steady boundary layer flow neglecting viscous dissipation term in the energy conservation equation but the treatments were not complete.
In this paper, the equations of a(?)mospheric circulation are discussed. Since they contain effect of heat conduction, eff(?)t of internal friction and the dissipation term which describes the transformation from kinetic energy into internal energy, they keep the total energy unchanged. A class of weighted-average conservative schemes is given, which describe the conservation by discrete model. The censervative scheme used in common is suboptimal only. Using Jessen's inequality, Hardy's inequali...
First, we cannot but talk in a few words about rheological fracture, because of this subject is generally understood as a self-contradictory one. In fact, Griffith's works just sixty years ago signaled the beginnings of a mechanics of fractcture, he realized and investigated the beginnings of a mechanics of fracture, he realized and investigated the phenomena of rupture and flow in solids. However it must be remembered that rheological mechanics sixty years ago was not well developed. Today from rheological...
In this paper, many quasi-linear equations are reduced to evolution equations inoperator form It is proved that if the operator A is non-negative, then"strongly implicit (i.e., 1/2 ≤θ≤ 1) schemes" would be absolutely stable, but if the operator A is skew-symmetric, then "weakly implicit and explicit (i.e., 0 ≤θ ≤ 1/2) schemes" are absolutely unstable.Furthermore, taking one dimensional non-linear advection equation as an example, three schemes with non-negative operator A and the corresponding stable scheme...