Matches in SemOpenAlex for { <https://semopenalex.org/work/W4387369344> ?p ?o ?g. }
- W4387369344 endingPage "112530" @default.
- W4387369344 startingPage "112530" @default.
- W4387369344 abstract "A novel staggered semi-implicit finite volume method for the simulation of one-dimensional blood flow in networks of elastic and viscoelastic vessels is proposed. The one-dimensional blood flow model is split into three subsystems: one containing the nonlinear convective terms, a second one for the viscoelastic terms and a final subsystem for the pressure-related terms. An explicit approach is then employed to discretize the convective subsystem, while the viscous and pressure terms are treated implicitly. This leads to a CFL-type time step restriction which depends only on the bulk velocity of the flow and not on the speed of the pressure waves or on the visco elasticity. As such, the method is computationally efficient in case of low speed index, which is equivalent to a low Mach regime for the Navier-Stokes equations. To extend the proposed methodology to the case of networks, a novel and very simple 3D approach for the treatment of junctions is proposed. Each junction is represented by a unique three-dimensional primal cell and the Euler equations are employed to approximate the velocity and pressure unknowns. A multidimensional numerical flux then takes into account the elementary information of the junction geometry, namely normal vectors and areas of the incident vessels, when approximating the blood flow at the cell interfaces embedded in the 3D cell. As such, the final scheme, based on guaranteeing mass and momentum conservation through the junction, is able to capture reflecting waves properly considering the effect of the different incident angles of vessels at a junction. The proposed methodology is carefully validated in the context of single elastic and viscoelastic vessels and small networks showing a good agreement with available analytical, experimental and numerical data." @default.
- W4387369344 created "2023-10-06" @default.
- W4387369344 creator A5016214427 @default.
- W4387369344 creator A5030446403 @default.
- W4387369344 creator A5051559583 @default.
- W4387369344 creator A5071843670 @default.
- W4387369344 creator A5089376573 @default.
- W4387369344 date "2023-12-01" @default.
- W4387369344 modified "2023-10-15" @default.
- W4387369344 title "A semi-implicit finite volume scheme for blood flow in elastic and viscoelastic vessels" @default.
- W4387369344 cites W1490886285 @default.
- W4387369344 cites W1512474191 @default.
- W4387369344 cites W1599144297 @default.
- W4387369344 cites W1905812059 @default.
- W4387369344 cites W1932796743 @default.
- W4387369344 cites W1968915247 @default.
- W4387369344 cites W1969945255 @default.
- W4387369344 cites W1970335967 @default.
- W4387369344 cites W1972088007 @default.
- W4387369344 cites W1973732737 @default.
- W4387369344 cites W1975096556 @default.
- W4387369344 cites W1975274479 @default.
- W4387369344 cites W1975576055 @default.
- W4387369344 cites W1976632273 @default.
- W4387369344 cites W1981858608 @default.
- W4387369344 cites W1984116661 @default.
- W4387369344 cites W1984450680 @default.
- W4387369344 cites W1984665386 @default.
- W4387369344 cites W1989607418 @default.
- W4387369344 cites W1997870656 @default.
- W4387369344 cites W2008588379 @default.
- W4387369344 cites W2009176130 @default.
- W4387369344 cites W2011344454 @default.
- W4387369344 cites W2012988381 @default.
- W4387369344 cites W2015541104 @default.
- W4387369344 cites W2023679051 @default.
- W4387369344 cites W2026513841 @default.
- W4387369344 cites W2027456895 @default.
- W4387369344 cites W2028188818 @default.
- W4387369344 cites W2031043673 @default.
- W4387369344 cites W2042352461 @default.
- W4387369344 cites W2045349155 @default.
- W4387369344 cites W2048141263 @default.
- W4387369344 cites W2056519660 @default.
- W4387369344 cites W2056633584 @default.
- W4387369344 cites W2061048870 @default.
- W4387369344 cites W2062761986 @default.
- W4387369344 cites W2063209427 @default.
- W4387369344 cites W2069784377 @default.
- W4387369344 cites W2071145489 @default.
- W4387369344 cites W2078621871 @default.
- W4387369344 cites W2081651178 @default.
- W4387369344 cites W2090820591 @default.
- W4387369344 cites W2097663931 @default.
- W4387369344 cites W2103113979 @default.
- W4387369344 cites W2104876870 @default.
- W4387369344 cites W2108236244 @default.
- W4387369344 cites W2110401007 @default.
- W4387369344 cites W2111599533 @default.
- W4387369344 cites W2140552189 @default.
- W4387369344 cites W2148232499 @default.
- W4387369344 cites W2150069959 @default.
- W4387369344 cites W2161433140 @default.
- W4387369344 cites W2167710645 @default.
- W4387369344 cites W2168060295 @default.
- W4387369344 cites W2168308757 @default.
- W4387369344 cites W2208078514 @default.
- W4387369344 cites W2295260858 @default.
- W4387369344 cites W2320435961 @default.
- W4387369344 cites W2351135840 @default.
- W4387369344 cites W2413827655 @default.
- W4387369344 cites W25233684 @default.
- W4387369344 cites W2527882399 @default.
- W4387369344 cites W2561255327 @default.
- W4387369344 cites W2610428589 @default.
- W4387369344 cites W2611710652 @default.
- W4387369344 cites W2624235754 @default.
- W4387369344 cites W2768176009 @default.
- W4387369344 cites W2777698842 @default.
- W4387369344 cites W2899228834 @default.
- W4387369344 cites W2953941941 @default.
- W4387369344 cites W2994149637 @default.
- W4387369344 cites W2994230705 @default.
- W4387369344 cites W3046516866 @default.
- W4387369344 cites W3047538078 @default.
- W4387369344 cites W3116010193 @default.
- W4387369344 cites W3119274372 @default.
- W4387369344 cites W3125348461 @default.
- W4387369344 cites W3127589899 @default.
- W4387369344 cites W3154719090 @default.
- W4387369344 cites W3190100136 @default.
- W4387369344 cites W3200090239 @default.
- W4387369344 cites W3203332358 @default.
- W4387369344 cites W4251574976 @default.
- W4387369344 cites W4253797853 @default.
- W4387369344 cites W4281724643 @default.
- W4387369344 cites W4313255077 @default.
- W4387369344 cites W4376116448 @default.