Table of Contents
Introduction to PETSc
Philosophy
PETSc Concepts As illustrated via a complete nonlinear PDE example: flow in a driven cavity
Tutorial Approach
Incremental Application Improvement
Component Interactions for Numerical PDEs
CFD on an Unstructured Grid
Scalability for Fixed-Size Problem
Scalability Study
Multiphase Flow
PC and SP Comparison
Speedup Comparison
The PETSc Programming Model
PDE Application Codes
PETSc Numerical Components
Mesh Definitions: For Our Purposes
A Freely Available and Supported Research Code
True Portability
PETSc History
A Complete Example: Driven Cavity Model
Driven Cavity Solution Approach
Driven Cavity Program
Collectivity
Vectors
Sparse Matrices
Parallel Matrix and Vector Assembly
Matrix Assembly
Blocked Sparse Matrices
Solvers: Usage Concepts
Nonlinear Solvers (SNES)
Context Variables
Creating the SNES Context
Basic Nonlinear Solver Code (C/C++)
Basic Nonlinear Solver Code (Fortran)
Solvers Based on Callbacks
Sample Application Context: Driven Cavity Problem
Sample Function Evaluation Code: Driven Cavity Problem
Sample Local Computational Loops: Driven Cavity Problem
Customization Options
Setting Solver Options within Code
Uniform access to all linear and nonlinear solvers
Runtime Script Example
Customization via Callbacks: Setting a user-defined line search routine
SNES: Review of Basic Usage
SNES: Review of Selected Options
SNES: Example Programs
Data Layout and Ghost Values : Usage Concepts
Ghost Values
Communication and Physical Discretization
Global and Local Representations
Distributed Arrays
Logically Regular Meshes
Vectors and DAs
Updating the Local Representation
Profiling
Driven Cavity: Running the program (1)
Driven Cavity: Running the program (2)
Sample Error Traceback
Sample Memory Corruption Error
Sample Out-of-Memory Error
Sample Floating Point Error
Summary
Extensibility Issues
Caveats Revisited
Where is PETSc headed next?
References
PETSc at NERSC
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