Sundance 2.0 tutorial.

Technical Report · Thu Jul 01 00:00:00 EDT 2004

DOI:https://doi.org/10.2172/974896· OSTI ID:974896

Long, Kevin R

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.

• Research Organization: Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 974896
• Report Number(s): SAND2004-4793; TRN: US201008%%577
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
ALGORITHMS
BOUNDARY CONDITIONS
CONSTRUCTION
OPTIMIZATION
SIMULATION
SIMULATORS
COMPUTERS
PROGRAMMING
Algorithms.
Parallel programming (Computer science)
Differential equations
Partial.
Software maintenance.