UNIT 7 -- GRID DESIGN:
Once the problem is defined and you have conceptualized
the model and made preliminary analytical assessments, it is time to design
the numerical model and consider how you will discretize space and time. You
may find that designing your grid is the most difficult task you undertake in
your modeling project. It probably doesn't help to know that the success of
your project is dependent on a good grid design and that redesign of the grid
is a major undertaking. It is especially difficult if you haven't had experience.
At this point you may feel the equivalent of writer's block. So, let's look
at the issues we need to keep in mind when building a grid. Then "go for it!"
Do not worry about making mistakes, our mission here can be viewed as a journey
of mistakes that we can use as learning experiences.
* The OBJECTIVE of UNIT 7 is for you to:
* UNDERSTAND THE ISSUES RELATED TO DESCRETIZING YOUR MODEL
* STUDY THE IMPORTANT CONSIDERATIONS RELATED TO DISCRETIZATION AND GET THEM INGRAINED IN YOUR MIND SO YOU WON'T OVERLOOK ONE AT A CRITICAL MOMENT
DISCUSSION
As you know from previous units, a numerical model needs to be divided into pieces of space and time for which we can linearize the solution and average the properties and results. Smaller pieces of space and time provide more accurate results, but require more time and effort on the part of the modeler and the user. We strive to find a balance of accuracy, cost, and effort. Study the materials on the discretization main page, then apply them to your numerical modeling effort in future units.
DISCRETIZATION MAIN PAGEEXERCISES
If you chose to purchase
Applied Ground-water Modeling,
read sections 3.1 through 3.4 and section 4.2
COMMUNICATION
Please bring up any concerns you may have about designing you grid and/or time steps. epoeter@mines.edu