利用PETSc和FEPG编制海啸数值模拟程序的研究     

张超凡  石耀霖 《地震》2008,28(1):47-56

海啸的数值模拟是海啸研究的一个重要领域, 它对于帮助理解海啸的基本物理特性和预防减灾具有重要意义。 海啸数值模拟程序的编制是一项繁杂的工作, 该文介绍了利用两种功能强大的通用软件(PETSc和FEPG)来进行海啸数值模拟程序编写的研究。 PETSc和FEPG采用有限差分、 有限元、 有限体积等多种离散方法, 可以对数值问题给出稳定的求解。 该文采用了直角坐标系下的非线性浅水波方程作为海啸波传播的控制方程进行离散求解, 并将其结果与TUNAMI N1模型进行了比较, 表明这两种方法方便而且有效。  相似文献   

On the existence of atmospheric attractors     

Huang DaiWen  Guo BoLing 《中国科学D辑(英文版)》2008,51(3):469-480

In this paper, we consider the long-time dynamics for the primitive equations of large-scale dry at- mosphere. First, by energy methods, we obtain the existence and uniqueness of global strong solu- tions of the problem. Second, by studying the long-time behavior of strong solutions, we construct a global attractor which captures all the trajectories.  相似文献   

On the cumulant expansion up scaling of ground water contaminant transport equation with nonequilibrium sorption     

Hakan Sirin  Miguel A. Mariño 《Stochastic Environmental Research and Risk Assessment (SERRA)》2008,22(4):551-565

The laboratory-scale ground water transport equation with nonequilibrium sorption reaction subjected to unsteady, nondivergence-free, and nonstationary velocity fields is up-scaled to the field-scale by using the ensemble-averaged equations obtained from the cumulant expansion ensemble-averaging method. It is found that existing ensemble-averaged equations obtained with the help of the cumulant expansion method for the system of linear partial differential equations are not second-order exact. Although the cumulant expansion methodology is designed for noncommuting operators, it is found that there are still commudativity requirements that need to be satisfied by the functions and constants exist in the coefficient matrix of the system of ordinary/partial differential equations. A reversibility requirement, which covers the commudativity requirements, is also proposed when applying the cumulant expansion method to a system of partial differential equations/a partial differential equation. The significance of the new velocity correction obtained in this study due to the applied second-order exact cumulant expansion is investigated on a numerical example with a linear trend in the distribution coefficient. It is found that the effect of the new velocity correction can be significant enough to affect the maximum concentration values and the plume center of mass in the case of a trending distribution coefficient in a physically heterogeneous environment.  相似文献   

Mathematical Analysis of a Model of River Channel Formation     

J. I. Díaz  A. C. Fowler  A. I. Muñoz  E. Schiavi 《Pure and Applied Geophysics》2008,165(8):1663-1682

The study of overland flow of water over an erodible sediment leads to a coupled model describing the evolution of the topographic elevation and the depth of the overland water film. The spatially uniform solution of this model is unstable, and this instability corresponds to the formation of rills, which in reality then grow and coalesce to form large-scale river channels. In this paper we consider the deduction and mathematical analysis of a deterministic model describing river channel formation and the evolution of its depth. The model involves a degenerate nonlinear parabolic equation (satisfied on the interior of the support of the solution) with a super-linear source term and a prescribed constant mass. We propose here a global formulation of the problem (formulated in the whole space, beyond the support of the solution) which allows us to show the existence of a solution and leads to a suitable numerical scheme for its approximation. A particular novelty of the model is that the evolving channel self-determines its own width, without the need to pose any extra conditions at the channel margin.  相似文献   

地震波数值模拟的非规则网格PML吸收边界   总被引：14，自引：4，他引：10       下载免费PDF全文

徐义  张剑锋 《地球物理学报》2008,51(5):1520-1526

以格子法为基础,以声波方程为例研究非规则网格PML(Perfectly Matched Layer)方法.本方法的核心是建立局部坐标系下的分裂方程和基于积分近似的微分方程弱形式.该非规则网格模拟方法允许在计算域内设置任意形状的人工边界.对于二维半空间问题,与采用矩形人工边界相比,采用半圆形人工边界可减少计算量20%以上.采用光滑的曲边界,不仅可减少计算区域,还可避免常规的PML吸收边界在吸收带角点区域的特殊处理.本方法事先计算和存储边界单元的局部几何参数,在计算的每一时间步查表调用这些参数,与常规的直边界PML方法相比,不增加任何计算量.  相似文献   

Simulation of the full two rigid body problem using polyhedral mutual potential and potential derivatives approach   总被引：3，自引：0，他引：3  

Eugene G. Fahnestock  Daniel J. Scheeres 《Celestial Mechanics and Dynamical Astronomy》2006,96(3-4):317-339

Herein we investigate the coupled orbital and rotational dynamics of two rigid bodies modelled as polyhedra, under the influence of their mutual gravitational potential. The bodies may possess any arbitrary shape and mass distribution. A method of calculating the mutual potential’s derivatives with respect to relative position and attitude is derived. Relative equations of motion for the two body system are presented and an implementation of the equations of motion with the potential gradients approach is described. Results obtained with this dynamic simulation software package are presented for multiple cases to validate the approach and illustrate its utility. This simulation capability is useful both for addressing questions in dynamical astronomy and for enabling spacecraft missions to binary asteroid systems.  相似文献   

High-resolution central difference scheme for the shallow water equations     

CHEN Jianzhong  SHI Zhongke  HU Yanmei 《海洋学报(英文版)》2005,24(5):39-45

1 IntroductionThe shallow water equations (SWE) are frequent-ly used as a mathematical model for water flows incoastal areas, lakes, estuaries, etc. Thus, they are animportant tool to simulate a variety of problems relat-ed to coastal engineering, environment, ecology, etc.(Bermúdez et al., 1998). On the basis of solving theone-dimensional (1D) SWE, Hu et al. (2000) have de-veloped a model capable of simulating storm wavespropagating in the coastal surf zone and overtopping asea wall. Ano…  相似文献   

航道对多方向波传播影响   总被引：2，自引：0，他引：2  

陈汉宝  刘海源 《海洋工程》2005,23(4):27-32

应用Boussinesq方程对不同入射角、不同方向集中度的波浪与航道的相互作用进行模拟,得到了航道的折射影响规律以及不同入射角、不同方向集中度的波浪对航道作用的差别.结果对试验研究及工程实践有指导意义.  相似文献   

Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 4. Species transport fundamentals     

Cass T. Miller  William G. Gray 《Advances in water resources》2008

This work is the fourth in a series of papers on the thermodynamically constrained averaging theory (TCAT) approach for modeling flow and transport phenomena in multiscale porous medium systems. The general TCAT framework and the mathematical foundation presented in previous works are built upon by formulating macroscale models for conservation of mass, momentum, and energy, and the balance of entropy for a species in a phase volume, interface, and common curve. In addition, classical irreversible thermodynamic relations for species in entities are averaged from the microscale to the macroscale. Finally, we comment on alternative approaches that can be used to connect species and entity conservation equations to a constrained system entropy inequality, which is a key component of the TCAT approach. The formulations detailed in this work can be built upon to develop models for species transport and reactions in a variety of multiphase systems.  相似文献   

横观各向同性含液饱和多孔介质黏弹性瞬态反应     

王俊林  祝彦知  张天航 《岩土力学》2007,28(7):1315-1322

在考虑横观各向同性含液饱和多孔介质固体骨架和流体可压缩性以及固体骨架的黏弹性特征下,基于横观各向同性含液饱和多孔介质u-w形式的三维动力控制方程,以固相位移u、液相相对位移w为基本未知量,综合运用Laplace变换、双重Fourier变换等方法,在直角坐标系下通过引入中间变量,将六元2阶动力控制方程组化为两组各含4个未知变量的常微分方程组,给出了直角坐标系下横观各向同性含液饱和多孔介质三维黏弹性动力反应的积分形式一般解;作为理论推导的验证,通过引入初始条件和边界条件,对横观各向同性含液饱和多孔介质半空间黏弹性瞬态反应问题进行了求解。解答的退化验证表明,所推导的理论解是正确的。  相似文献