The flow solvers are based on the software developed by the Computational Middleware Project and used as the basic building blocks for simulating complex flow problems in the Biomedical Flows Project. The key to building such robust solvers is a posteriori error estimation techniques and adaptive algorithms that automatically tune the local resolution in the individual solvers to achieve overall accuracy.
As part of the project, we have developed a framework for a posteriori error estimation and adaptive algorithms for coupled multiphysics solvers. The framework enables quantification of the influence of errors in an individual solver on a given user-provided output quantity. Applications investigated so far include coupled flow-transport problems and thermoelasticity. We are currently extending the framework to fluid-structure interaction.
In another activity tied to this project, we investigate how to apply the reduced basis method to the modeling of hierarchical flow systems. Together with external collaborators, the geometry of the computational domain has been introduced as a parameter to allow efficient computation of flow in a series of pipes and bifurcations by coupling precomputed basis functions on subproblems. The long term goal is to apply the methodology to the full three-dimensional, time-dependent Navier-Stokes equations and fluid-structure interaction problems encountered in biomedical flows.
- Seminar series, starting May 2009
- Workshop on current issues and activities - April 7, 2009
Workshop on current issues and activities - April 15, 2008