The MultiBench test suite is a unified implementation of fourteen leading multiscale methods for static loading conditions studied
In 2009, Miller and Tadmor published a paper providing a unified framework and performance benchmark for fourteen leading multiscale methods including QC . The code used in the performace benchmark testing, called "MultiBench", is available here. The methods supported by MultiBench are:
|Coupling of Length Scales||CLS|||
|Bridging Scale Method||BSM||[17, 10]|
|Composite Grid Atomistic Continuum Method||CACM|||
|Ghost-Force Corrected Quasicontinuum||QC-GFC|||
|Ghost-Force Corrected Cluster-Energy Quasicontinuum||CQC-GFC|||
|Coupled Atomistics and Discrete Dislocations||CADD||[14, 15]|
|Hybrid Simulation Method||HSM|||
|Concurrent Atomistic to Continuum Coupling||AtC||[5, 1, 2, 9]|
|Ghost-Force Corrected Concurrent Atomistic to Continuum Coupling||AtC-GFC||unpublished|
A description of the unified framework encompassing all fourteen methods and the results of a benchmark comparing them are available in these publications:
- R. E. Miller and E. B. Tadmor, "A unified framework and performance benchmark of fourteen multiscale atomistic/continuum coupling methods", Model. Simul. Mater. Sci. Eng., 17, 053001 (2009). Preprint available here.
- Chapter 12 in E. B. Tadmor and R. E. Miller, Modeling Materials: Continuum, Atomistic and Multiscale Techniques, Cambridge University Press (2011). More information on this book is available at http://modelingmaterials.org.
The complete MultiBench test suite, including the benchmark test case studied in the article, is available for download here.
 S. Badia, P. Bochev, R. Lehoucq, M. L. Parks, J. Fish, M. Nuggehally, and M. Gunzburger. A force-based blending model for atomistic-to-continuum coupling. International Journal for Multiscale Computational Engineering, 5(5):387-406, 2007.
 D. K. Datta, R. Catalin Picu, and Mark S. Shephard. Composite grid atomistic continuum method: An adaptive approach to bridge continuum with atomistic analysis. Intl. J. Multiscale Computational Engineering, 2(3):71-90, 2004.
 Jacob Fish, Mohan A. Nuggehally, Mark S. Shephard, Catalin R. Picu, Santiago Badia, Michael L. Parks, and Max Gunzburger. Concurrent AtC coupling based on a blend of the continuum stress and the atomistic force. Computer Methods in Applied Mechanics and Engineering, 196(45-48):4548-4560, 2007.