Physical Phenomenon can be represented by mathematical models. However, analytic solutions can not be easily established for all of them. In most cases, numerical approximations are used so a approximate solution for the physical phenomenon is achieved.
Technologies such as Finite Element Method (FEM), Discontinuous Galerkin FEM (DGFEM) , Finite Volumes are some examples of consolidated technologies that provides the engineers an approximation (numerical) for an analytic (exact) solution.
Simulations exists with the purpose of augmenting the knowledge on any product’s behavior, capacity, characteristics etc, prior to its construction, assemblage etc. Since numerical simulations are performed in a “virtual” model, its cost is considerably lesser then the cost of building prototypes and subjecting it to stresses, loads, heat, shocks etc, until it fails, collapses etc, so its characteristics can be inferred. Technical teams from a variety of industries take numerical simulations as the main design tool for their engineering efforts.
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