Questions on the testing and verification of computational methods.

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3
votes
4answers
190 views

Looking for analytic solutions to time dependent fluid flow problems

I'm looking for analytic solutions to time dependent fluid flow problems (can be compressible or incompressible, Euler or Navier-Stokes equations). The main thing though is that I'd like there to be ...
6
votes
3answers
248 views

Any recommendations for unit-testing frameworks compatible with code/libraries that use MPI?

Usually, I write serial code, and when I do, I write unit tests with some xUnit-style testing framework (MATLAB xUnit, PyUnit/nose, or Google's C++ testing framework). Based on a cursory Google ...
9
votes
2answers
161 views

Strategies for unit testing and test-driven development

I'm a huge advocate of test-driven development in scientific computing. It's utility in practice is just staggering, and really alleviates the classic troubles that code developers know. However, ...
3
votes
3answers
63 views

Test case suggestion for incompressible flow with ALE method on deforming grids

I'm working on a finite-volume discretization method with implicit time-integration for the incompressible Navier-Stokes equations in Arbitrary Lagrangian-Eularian (ALE) form. So far I've tested the ...
11
votes
4answers
210 views

Testing suites for numerical applications in C++?

Recently, I've been pushing my group to include more testing when writing their code. There were several major bugs that took a lot longer to catch than probably speaking was necessary, because we ...
1
vote
2answers
187 views

Is there any 1-D test case for incompressible flow codes?

There is quasi 1-D C-D nozzle test case for compressible flow codes, like that "is there any 1-D test case for incompressible flow codes?"
3
votes
1answer
40 views

How to obtain the minimum set of variables required in a model to produce accurate estimation?

I have a system which I assume is linear. I have a matrix $A$ of which each row is a coefficient of a unknown variables in vector $x$. I have vector $B$ which contains the result of each $Ax$. ...
8
votes
1answer
110 views

Testing and visualizing large index arrays

I will be implementing nodal discontinuous Galerkin method soon, and having done this before I know the basic indexing arrays I will need to compute, given a mesh and polynomial data. The problem I ...
8
votes
3answers
235 views

Regression testing of chaotic numerical models

When we have a numerical model that represents a real physical system, and that exhibits chaos (e.g. fluid dynamics models, climate models), how can we know that the model is performing as it should? ...
1
vote
1answer
123 views

Test set non linear solver

what is your preferred test set to test quality of non linear solver? this could be set of data, model and results obtained with some benchmark solver, or simply a panel of test functions that could ...
15
votes
5answers
308 views

Databases of results for numerical codes

In the numerical methods literature, many research papers consist of a description of a new algorithmic variation, followed by a few test problems comparing the new method with one or two existing ...
46
votes
13answers
2k views

Is it worthwhile to write unit tests for scientific research codes?

I am strongly convinced of the value of using tests that verify a complete program (e.g. convergence tests), including an automated set of regression tests. After reading some programming books, I've ...
13
votes
3answers
242 views

What programming strategies can I take for easily modifying algorithm parameters?

Developing scientific algorithms is a highly iterative process often involving changing lots of parameters that I will want to vary either as part of my experimental design or as part of tweaking ...
32
votes
16answers
826 views

Where can one obtain good data sets/test problems for testing algorithms/routines?

In evaluating the quality of a piece of software you are about to use (whether it's something you wrote or a canned package) in computational work, it is often a good idea to see how well it works on ...