Here are some of the new features in version 7 :
CAD Mesh Import - Import a bounding mesh created in a CAD program (OBJ format).
Optimization - Built-in parameter optimizer.
General boundary shapes - Create boundary paths using implicit algebraic equations.
Interactive Plot Zoom - Zoom in on plots without the need to request a special plot.
Material Sets - User-defined groups of material properties simplify script writing.
Boundary Condition Sets - User-defined groups of boundary conditions simplify script writing.
Multidirectional Periodicity - Support for periodic boundaries in more than one direction at corners.
Extended Preferences Panel - All major settings located in a convenient preference panel.
Automatic Mesh Output - Easier post-processing with automatic mesh transfer output.
Automatic Mesh Input - Faster restarts by importing previous mesh when possible.
Simplified Stop & Restart - Simplified commands for restarting from mesh transfer files.
Heirarchical Basis - New heirarchical FEM basis functions improve matrix conditioning.
New Dongle Vendor - Wibu-Systems dongles provide more flexibility and cost effectiveness.FlexPDE does not merely pass a translation on to some other package for processing. In fact, FlexPDE is designed to be the package other applications call for processing.
FlexPDE does not merely pass a translation on to some other package for processing. In fact, FlexPDE is designed to be the package other applications call for processing.
One, two or three space dimensions
Automatic mesh construction
Time dependent, steady-state or eigenvalues.
Flexible integrated graphical output
Dynamic adaptive mesh refinement
Dynamic timestep control
Nonlinear equation solver
Unlimited equation complexity
Unlimited number of simultaneous equations
Multiple Equation Sets*
Complex, Vector and Array Variables and Equations*
Regionally Inactive Variables*
Arbitrary Lagrange/Eulerian moving mesh
Export capability for 3rd-party visualizations
Multithreading support for dual and quad core processors*
Well, you don’t have to just imagine. Because that’s what FlexPDE will do for you.
Join hundreds of the world’s most sophisticated scientists, and take advantage of the most versatile problem-solving environment in existence.
FlexPDE continually monitors the accuracy of the solution, and adapts the finite element mesh to resolve those areas of high error.
You don’t need a dense mesh throughout the domain, because FlexPDE will find the areas that need it, and put it there!
The problem shown here is a two-phase flow calculation, modeling the extraction of oil by water injection. FlexPDE adapts the mesh to the front of the wave.
By locking the mesh to the fluid velocity, you can create a fully Lagrangian model.
Or, you can define a relaxive mesh within moving boundaries to maintain mesh integrity.
Or, by omitting the mesh moving equations, you can perform a fully Eulerian computation.
In any case, FlexPDE automatically corrects the PDE system to represent the motion of the mesh.
The problem shown here computes the motion of a gas in a compressor cylinder
Example: Viscous Flow in a 2D channel:
This problem examines viscous fluid flow in a 2D channel. FlexPDE solves for the X- and Y- velocities of a fluid, with fixed pressures applied at the ends of the channel. The reynolds number in this problem is approximately 20.
The Navier-Stokes equation for steady incompressible flow in two cartesian dimensions is
rho*(dt(U) + U*dx(U) + V*dy(U)) = mu*div(grad(U)) - dx(P)
rho*(dt(V) + U*dx(V) + V*dy(V)) = mu*div(grad(V)) - dy(P)
together with the continuity equation,
dx(U) + dy(V) = 0.
Here U and V are the X- and Y-velocities, P is the pressure (introduced as a surrogate for the continuity equation), rho is density, and mu is viscosity.
Example: Permanent Magnet
This problem considers the magnetic field in a core containing a permanent magnet.
The system obeys the PDE
curl(curl(A)-P)/mu) + J = 0,
where A is the magnetic vector potential, P is the magnetization, J is the current density, and mu is the permeability.
Example: Stress Analysis
This problem shows the deformation of a tension bar with a hole. FlexPDE solves two simultaneous Partial Differential Equations for the X- and Y- displacements within the bar.
dx(Sx) + dy(Txy) + Fx = 0
dx(Txy) + dy(Sy) + Fy = 0
where Sx and Sy are the stresses in the X- and Y- directions, Txy is the shear stress, and Fx and Fy are the body forces in the X- and Y- directions.
Sx = C11*dx(U) + C12*dy(V) + C13*[dy(U) + dx(V)]
Sy = C12*dx(U) + C22*dy(V) + C23*(dy(U) + dx(V))
Txy = C13*dx(U) + C23*dy(V) + C33*(dy(U) + dx(V))
Here the Cnn are the constitutive relations of the material.
Example : Chemical Reactions
This problem follows a cross section of the gas in an open tube chemical reactor as the gas flows down the tube. The chemical reaction has a reaction rate which is exponential in tempreature, and shows an explosive reaction completion once the ’ignition’ temperature is reached. There is a heated band on each side of the tube, to help induce ignition. We model one quarter of the circular cross section. There are two simultaneous PDE’s, one for the temperature and one for the chemical concentration:
dt(T) = div(grad(T)) + a*(1-C)*exp(G-G/T)
dt(C) = div(grad(C)) + b*(1-C)*exp(G-G/T)
Here T is the temperature, C is the concentration. a, b, and G are constants.
Example : Diffusion
This problem considers the thermally driven diffusion of a dopant into a solid from a constant masked source. Parameters have been chosen to be those typically encountered in semiconductor diffusion. The PDE is just the diffusion equation:
dt(C) = div(D*grad(C)) ,
where C is the concentration and D is the diffusivity. At early times, the solution near the source can be compared to the analytic solution for 1D diffusion.
License Methods:
Internet Key -The standard method of licensing FlexPDE Professional is by internet activation. This mode of licensing generates a text key that locks the execution of FlexPDE to a specific computer CPU. Access to the internet is required on a periodic basis to validate the key. The key can be released from one machine and reactivated on another without difficulty.
Dongle - FlexPDE Professional can be configured to use a portable hardware key (dongle) for USB (or parallel port by request). FlexPDE can be run on any machine that has the dongle installed in an appropriate I/O port. There is a $50 surcharge for the dongle.
Network - FlexPDE Professional can be configured to run in a networked mode. A single network accessible computer is configured with a network dongle and a license manager application. Any other computer with network access can then run FlexPDE, up to a specified maximum number of simultaneous users. There is a $150 surcharge for the dongle.
Software Key -On request, Professional configurations can be licensed in the form of a text key that locks the execution of FlexPDE to a specific computer CPU. If you prefer a software license key, you must first download and install the software and record the computer ID from the "Help | Register FlexPDE" screen. Include the computer ID on the license application form. Your software key will be sent to you by Email. Copy this key to the FlexPDE installation directory (you may need administrator privileges to do this).
推荐图书
中国区典型用户