Eulerian Bond Graphs for Fluid Continuum Dynamics Modeling

Abstract

The development of high resolution, general purpose models of viscous, compressible flows is extremely difficult with existing system dynamics modeling tools. Published work admits to significant limitations, with regards to the treatment of flow geometry, inertia effects, or mass and energy convection. Combining a finite element discretization scheme with a bond graph based model formulation procedure provides a very general purpose tool for continuum fluid system modeling.

True bond graph formulation for one-dimensional incompressible pipe flows: modeling and analytical benchmarks

“…The first attempt to apply BG in fluid dynamic systems with a systematic spatial discretization of flow fields, typical of CFD problems, appeared in [7]. A one-dimensional compressible flow was considered, although the formulation was restricted to prescribed shape functions and nodalization.…”

Modeling One-Dimensional Incompressible Duct Flows

“…This task, main concern of the area of Computational Fluid Dynamics (CFD), is performed by systematically discretizing the continua, that is, by replacing the continuous variables by a combination of a finite set of nodal values and interpolating functions. The first attempt to apply Bond Graphs in fluid dynamic systems with a systematic spatial discretization of flow fields, typical of CFD problems, appeared in [9]. A compressible flow was considered, although the formulation was restricted to prescribed shape functions and nodalization.…”