Sundance 2.0 tutorial. | Zendy

K.R. Long | Zendy

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Sundance 2.0 tutorial.

Author(s) -

K.R. Long

Publication year - 2004

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/974896

Subject(s) - solver , computer science , discretization , visualization , set (abstract data type) , simple (philosophy) , software , computational science , nonlinear system , code (set theory) , boundary value problem , boundary (topology) , parallel computing , theoretical computer science , algorithm , mathematics , mathematical optimization , programming language , artificial intelligence , mathematical analysis , philosophy , physics , epistemology , quantum mechanics

Sundance is a system of software components that allows construction of an entire parallel simulator and its derivatives using a high-level symbolic language. With this high-level problem description, it is possible to specify a weak formulation of a PDE and its discretization method in a small amount of user-level code; furthermore, because derivatives are easily available, a simulation in Sundance is immediately suitable for accelerated PDE-constrained optimization algorithms. This paper is a tutorial for setting up and solving linear and nonlinear PDEs in Sundance. With several simple examples, we show how to set up mesh objects, geometric regions for BC application, the weak form of the PDE, and boundary conditions. Each example then illustrates use of an appropriate solver and solution visualization

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