Verification and Assessment of Numerical Procedures in Solid Mechanics

Takahiro Yamada, Yokohama National University

Verification and validation (V&V) is a standard strategy to ensure the credibility of numerical simulations. Verification is the process of determining that a computational model accurately represents the underlying mathematical model and its solution and it should be performed before the validation activity begins. Thus verification plays a crucial role in V&V process. In computational fluid dynamics, there are several procedures developed for verification such as the method of manufactured solution (MMS) and method of nearby problems (MNP). However such procedures are difficult to apply to problems of solid mechanics owing to the complexity of nonlinear constitutive relations of materials, geometrical nonlinearity and so on. Therefore concrete methodology of verification in solid mechanics has not been well-established.
The objective of this mini-symposium therefore is to discuss concrete verification procedures in solid mechanics. These include but are not limited to:
- exact solution in nonlinear problems
- method of manufactured solution
- method of nearby problems
- benchmark problems
- assessment of numerical properties
- a posteriori error estimation
- stability analysis