%0 Journal Article %1 noauthororeditor %A McBain, G. D. %A Mallinson, S. G. %A Brown, B. R. %A Gustafsson, Tom %D 2019 %J The ANZIAM Journal %K 65n30-pdes-bvps-finite-elements 76-04-fluid-mechanics-explicit-machine-computation-and-programs 76b99-incompressible-inviscid-fluids-none-of-the-above 76m10-finite-element-methods-in-fluid-mechanics %P C140–C155 %R 10.21914/anziamj.v60i0.14058 %T Three Ways to Compute Multiport Inertance %U https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/14058 %V 60 %X The immediate impulse-response of a confined incompressible fluid is characterized by inertance. For a vessel with inlet and outlet, this is a single quantity; for multiple ports the generalization is a singular reciprocal inertance matrix, acting on the port-impulses to give the corresponding inflows. The coefficients are defined by the boundaryfluxes of potential flows. Green’s identity converts these to domain integrals of kinetic energy. If the system is discretized with finite elements, a third method is proposed which requires only the stiffness matrix and the solution vectors and no numerical differentiation.

@article{noauthororeditor, abstract = {The immediate impulse-response of a confined incompressible fluid is characterized by inertance. For a vessel with inlet and outlet, this is a single quantity; for multiple ports the generalization is a singular reciprocal inertance matrix, acting on the port-impulses to give the corresponding inflows. The coefficients are defined by the boundaryfluxes of potential flows. Green’s identity converts these to domain integrals of kinetic energy. If the system is discretized with finite elements, a third method is proposed which requires only the stiffness matrix and the solution vectors and no numerical differentiation. }, added-at = {2019-06-19T01:59:43.000+0200}, author = {McBain, G. D. and Mallinson, S. G. and Brown, B. R. and Gustafsson, Tom}, biburl = {https://www.bibsonomy.org/bibtex/29b74a40a002b074e456c5b74aab3f1c8/gdmcbain}, doi = {10.21914/anziamj.v60i0.14058}, interhash = {e69e2059e6bcc28cb70b2574799b763d}, intrahash = {9b74a40a002b074e456c5b74aab3f1c8}, issn = {1446-8735}, journal = {The ANZIAM Journal}, keywords = {65n30-pdes-bvps-finite-elements 76-04-fluid-mechanics-explicit-machine-computation-and-programs 76b99-incompressible-inviscid-fluids-none-of-the-above 76m10-finite-element-methods-in-fluid-mechanics}, language = {en}, pages = {C140–C155}, timestamp = {2019-09-30T01:37:21.000+0200}, title = {Three Ways to Compute Multiport Inertance}, url = {https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/14058}, volume = 60, year = 2019 }