Patrick Knupp, Kambiz Salari
How can one be assured that computer codes that solve differential equations are correct? Standard practice using benchmark testing no longer provides full coverage because today's production codes solve more complex equations using more powerful algorithms. By verifying the order-of-accuracy of the numerical algorithm implemented in the code, one can detect most any coding mistake that would prevent correct solutions from being computed.
Verification of Computer Codes in Computational Science and Engineering sets forth a powerful alternative called OVMSP: Order-Verification via the Manufactured Solution Procedure. This procedure has two primary components: using the Method of Manufactured Exact Solutions to create analytic solutions to the fully-general differential equations solved by the code and using grid convergence studies to confirm the order-of-accuracy. The authors present a step-by-step procedural guide to OVMSP implementation and demonstrate its effectiveness.
Properly implemented, OVMSP offers an exciting opportunity to identify virtually all coding 'bugs' that prevent correct solution of the governing partial differential equations. Verification of Computer Codes in Computational Science and Engineering shows you how this can be done. The treatment is clear, concise, and suitable both for developers of production quality simulation software and as a reference for computational science and engineering professionals.
How can one be assured that computer codes that solve differential equations are correct? Standard practice using benchmark testing no longer provides full coverage because today's production codes solve more complex equations using more powerful algorithms. By verifying the order-of-accuracy of the numerical algorithm implemented in the code, one can detect most any coding mistake that would prevent correct solutions from being computed.Verification of Computer Codes in Computational Science and Engineering sets forth a powerful alternative called OVMSP: Order-Verification via the Manufactured Solution Procedure. This procedure has two primary components: using the Method of Manufactured Exact Solutions to create analytic solutions to the fully-general differential equations solved by the code and using grid convergence studies to confirm the order-of-accuracy. The authors present a step-by-step procedural guide to OVMSP implementation and demonstrate its effectiveness.Properly implemented, OVMSP offers an exciting opportunity to identify virtually all coding 'bugs' that prevent correct solution of the governing partial differential equations. Verification of Computer Codes in Computational Science and Engineering shows you how this can be done. The treatment is clear, concise, and suitable both for developers of production quality simulation software and as a reference for computational science and engineering professionals.
Introduction to Code Verification. The Mathematical Model and Numerical Algorithm. The Code Verification Procedure. Design of Coverage Test Suite. Finding Exact Solutions. Benefits of the Order-Verification Procedure. Related Code Development Activities. Sample Code Verification Exercises. Advanced Topics. Summary and Conclusions. References. Appendices. Index.
How can one systematically show that computer codes are correctly solving equations? Verification of Computer Codes in Computational Science and Engineering sets forth a powerful procedure called OVMSP: Order-Verification via the Manufactured Solution Procedure. Properly implemented, OVMSP offers an exciting opportunity to identify virtually all coding 'bugs' that prevent correct solution of the governing partial differential equations. This book presents a step-by-step guide to OVMSP and demonstrates its effectiveness. The treatment is clear, concise, and suitable for developers of production quality simulation software and as a reference for computational science and engineering professionals.
Sets forth a procedure called OVMSP: Order-Verification via the Manufactured Solution Procedure that offers an opportunity to identify virtually all coding 'bugs' that prevent correct solution of the governing partial differential equations. This book provides guidance to OVMSP and demonstrates its effectiveness.
