WO2002003173A3 - Equal order method for fluid flow simulation - Google Patents

Equal order method for fluid flow simulation Download PDF

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Publication number
WO2002003173A3
WO2002003173A3 PCT/US2001/041228 US0141228W WO0203173A3 WO 2002003173 A3 WO2002003173 A3 WO 2002003173A3 US 0141228 W US0141228 W US 0141228W WO 0203173 A3 WO0203173 A3 WO 0203173A3
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WO
WIPO (PCT)
Prior art keywords
velocity
pressure
point
discretized
gaussian
Prior art date
Application number
PCT/US2001/041228
Other languages
French (fr)
Other versions
WO2002003173A2 (en
Inventor
David Marc Waite
Shaupoh Wang
Jenn-Yeu Nieh
Original Assignee
Aemp Corp
David Marc Waite
Shaupoh Wang
Jenn-Yeu Nieh
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Aemp Corp, David Marc Waite, Shaupoh Wang, Jenn-Yeu Nieh filed Critical Aemp Corp
Priority to CA002415165A priority Critical patent/CA2415165A1/en
Priority to JP2002508174A priority patent/JP2004503005A/en
Priority to EP01957546A priority patent/EP1316053A4/en
Priority to AU2001279281A priority patent/AU2001279281A1/en
Publication of WO2002003173A2 publication Critical patent/WO2002003173A2/en
Publication of WO2002003173A3 publication Critical patent/WO2002003173A3/en

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Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00—Details relating to CAD techniques
    • G06F2111/10—Numerical modelling

Abstract

The present invention provides a method for solving the Navier-Stokes equation of viscous, incompressible laminar flows with moving free surfaces in complex domains. The method (100) derives discretized momentum equations using finite element procedures on a fixed mesh (40). Pressure and velocity of this discretized momentum equation is defined on all the nodes of the mesh (42). The method further provides a discretized continuity equation where velocity is defined on a Gaussian-point between the nodes of an element (105). Further, the Gaussian-point velocity is a function of the nodal velocity. The discretized momentum and continuity equations are solved to determine the pressure field (106). The velocity field is then determined from the newly determined pressure field. As the velocities and pressure fields are solved for at each nodal point, the accuracy of the solution is preserved. The predicted Gaussian-point velocity field conserves mass to machine round-off levels for element types in which the pressure gradient and velocities can be evaluated on a consistent basis.
PCT/US2001/041228 2000-07-01 2001-07-02 Equal order method for fluid flow simulation WO2002003173A2 (en)

Priority Applications (4)

Application Number Priority Date Filing Date Title
CA002415165A CA2415165A1 (en) 2000-07-01 2001-07-02 Equal order method for fluid flow simulation
JP2002508174A JP2004503005A (en) 2000-07-01 2001-07-02 A homogeneous order method for fluid flow simulation
EP01957546A EP1316053A4 (en) 2000-07-01 2001-07-02 Equal order method for fluid flow simulation
AU2001279281A AU2001279281A1 (en) 2000-07-01 2001-07-02 Equal order method for fluid flow simulation

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US09/610,641 2000-07-01
US09/610,641 US6611736B1 (en) 2000-07-01 2000-07-01 Equal order method for fluid flow simulation

Publications (2)

Publication Number Publication Date
WO2002003173A2 WO2002003173A2 (en) 2002-01-10
WO2002003173A3 true WO2002003173A3 (en) 2002-10-10

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Family Applications (1)

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PCT/US2001/041228 WO2002003173A2 (en) 2000-07-01 2001-07-02 Equal order method for fluid flow simulation

Country Status (6)

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US (1) US6611736B1 (en)
EP (1) EP1316053A4 (en)
JP (1) JP2004503005A (en)
AU (1) AU2001279281A1 (en)
CA (1) CA2415165A1 (en)
WO (1) WO2002003173A2 (en)

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Also Published As

Publication number Publication date
US6611736B1 (en) 2003-08-26
EP1316053A4 (en) 2005-01-19
WO2002003173A2 (en) 2002-01-10
AU2001279281A1 (en) 2002-01-14
EP1316053A2 (en) 2003-06-04
CA2415165A1 (en) 2002-01-10
JP2004503005A (en) 2004-01-29

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