New Coupling Conditions for Isentropic Flow on Networks

Efficient simulation of coupled gas and power networks under uncertain demands

“…Those yield an implicit description of the boundary values in terms of physical relations. Several different conditions exist, see [33,44,45]. Yet, for the purpose of real-world gas pipelines, [24] seems to indicate that coupling via equality of pressure is sufficient for the expectable accuracy of the whole modelling approach.…”

“…For a single node with K adjacent arcs extending to infinity and under subsonic condition for the initial data existence of weak entropic solutions in BV has been shown for example in [19]. In [33], existence of weak integrable solutions on a graph has been established. Similar results are also available for other choices of coupling conditions, and we refer to for example [12].…”

Efficient simulation of coupled gas and power networks under uncertain demands

“…in [CG08b]. In [HHW20] existence of weak integrable solutions on a graph has been established. Similar results are also available for other choices of coupling conditions and we refer to e.g.…”