2016
DOI: 10.12941/jksiam.2016.20.083
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Comparison of Numerical Methods for Ternary Fluid Flows: Immersed Boundary, Level-Set, and Phase-Field Methods

Abstract: ABSTRACT. This paper reviews and compares three different methods for modeling incompressible and immiscible ternary fluid flows: the immersed boundary, level set, and phase-field methods. The immersed boundary method represents the moving interface by tracking the Lagrangian particles. In the level set method, an interface is defined implicitly by using the signed distance function, and its evolution is governed by a transport equation. In the phase-field method, the advective Cahn-Hilliard equation is used a… Show more

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Cited by 1 publication
(2 citation statements)
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“…To simulate contraction of the LMC, the immersed‐boundary method 21 was used, which is a well‐known method used to simulate fluid‐structure (fiber) interactions by treating coupling of structure deformation governed by energy functionals 22 and fluid flow using computational fluid dynamics. This method has often been applied to simulate the motion of structures that do not involve topological changes, such as the human viscera 23 . Contraction of the LMC in two‐dimensional space was simulated using driving forces based on contractive, elastic, and restoring energies as follows: trueleftEc(X(s,t))=σc2∣∣Xxds,Ee(X(s,t))=σe2true(boldXx1true)2ds,Ek(X(s,t))=σk2|boldYfalse(s,tfalse)boldX|2ds,δE(X(s,t))=Ffalse(s,tfalse)δboldXfalse(s,tfalse)ds.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…To simulate contraction of the LMC, the immersed‐boundary method 21 was used, which is a well‐known method used to simulate fluid‐structure (fiber) interactions by treating coupling of structure deformation governed by energy functionals 22 and fluid flow using computational fluid dynamics. This method has often been applied to simulate the motion of structures that do not involve topological changes, such as the human viscera 23 . Contraction of the LMC in two‐dimensional space was simulated using driving forces based on contractive, elastic, and restoring energies as follows: trueleftEc(X(s,t))=σc2∣∣Xxds,Ee(X(s,t))=σe2true(boldXx1true)2ds,Ek(X(s,t))=σk2|boldYfalse(s,tfalse)boldX|2ds,δE(X(s,t))=Ffalse(s,tfalse)δboldXfalse(s,tfalse)ds.…”
Section: Methodsmentioning
confidence: 99%
“…This method has often been applied to simulate the motion of structures that do not involve topological changes, such as the human viscera. 23 Contraction of the LMC in two -dimensional space was simulated using driving forces based on contractive, elastic, and restoring energies as follows: where the circular smooth muscle fibers of the MBU were prominent and much thicker than those of the PSU ( Figure 4C).…”
Section: Numerical Simulation Of Lmc Contractionmentioning
confidence: 99%