Section: Scientific Foundations

Numerical Algorithms

Various numerical methods are used in BANG. They may be based on finite elements or finite volume methods, or stochastic methods for individual agents. Algorithmic improvments are needed in order to take into account the specificity of each model, of their coupling, or their 3D features. Among them we can mention

• Well-balanced schemes for shallow water system.

• Free-surface Navier-Stokes solvers based on a multilayer St-Venant approach.

• Mixed finite elements for problems with large density variations (semi-conductors, chemotaxis).

• Description of tumor growth and tissue regeneration are based on systems of stochastic equations of motion for individual cells or Monte-Carlo simulations of multi-cellular configurations.