A combination of implicit and adaptative upwind tools for the numerical solution of incompressible free surface flows

V. G. Ferreira, C. M. Oishi, F. A. Kurokawa, M. K. Kaibara, J. A. Cuminato, A. Castelo, N. Mangiavacchi, M. F. Tomé, S. McKee

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

This paper is concerned with the numerical solutions of time dependent two‐dimensional incompressible flows. By using the primitive variables of velocity and pressure, the Navier–Stokes and mass conservation equations are solved by a semi‐implicit finite difference projection method. A new bounded higher order upwind convection scheme is employed to deal with the non‐linear (advective) terms. The procedure is an adaptation of the GENSMAC (J. Comput. Phys. 1994; 110:171–186) methodology for calculating confined and free surface fluid flows at both low and high Reynolds numbers. The calculations were performed by using the 2D version of the Freeflow simulation system (J. Comp. Visual. Science 2000; 2:199–210). In order to demonstrate the capabilities of the numerical method, various test cases are presented. These are the fully developed flow in a channel, the flow over a backward facing step, the die‐swell problem, the broken dam flow, and an impinging jet onto a flat plate. The numerical results compare favourably with the experimental data and the analytical solutions.
Original languageEnglish
Pages (from-to)419-445
Number of pages27
JournalInternational Journal for Numerical Methods in Biomedical Engineering
Volume23
Issue number6
Early online date14 Aug 2006
DOIs
Publication statusPublished - 30 Jun 2007

Fingerprint

Incompressible Surface
Free Surface Flow
Incompressible Flow
Numerical Solution
Incompressible flow
Dams
Impinging Jet
Backward-facing Step
Flow of fluids
Conservation
Numerical methods
Convection
Reynolds number
Mass Conservation
Flat Plate
Projection Method
Navier-Stokes
Simulation System
Difference Method
Fluid Flow

Keywords

  • semi‐implicit projection method
  • incompressible free surface flow
  • bounded higher order upwind scheme
  • finite difference
  • convection discretization

Cite this

Ferreira, V. G. ; Oishi, C. M. ; Kurokawa, F. A. ; Kaibara, M. K. ; Cuminato, J. A. ; Castelo, A. ; Mangiavacchi, N. ; Tomé, M. F. ; McKee, S. / A combination of implicit and adaptative upwind tools for the numerical solution of incompressible free surface flows. In: International Journal for Numerical Methods in Biomedical Engineering . 2007 ; Vol. 23, No. 6. pp. 419-445.
@article{b45904a23038479fb0895bea9a8469e7,
title = "A combination of implicit and adaptative upwind tools for the numerical solution of incompressible free surface flows",
abstract = "This paper is concerned with the numerical solutions of time dependent two‐dimensional incompressible flows. By using the primitive variables of velocity and pressure, the Navier–Stokes and mass conservation equations are solved by a semi‐implicit finite difference projection method. A new bounded higher order upwind convection scheme is employed to deal with the non‐linear (advective) terms. The procedure is an adaptation of the GENSMAC (J. Comput. Phys. 1994; 110:171–186) methodology for calculating confined and free surface fluid flows at both low and high Reynolds numbers. The calculations were performed by using the 2D version of the Freeflow simulation system (J. Comp. Visual. Science 2000; 2:199–210). In order to demonstrate the capabilities of the numerical method, various test cases are presented. These are the fully developed flow in a channel, the flow over a backward facing step, the die‐swell problem, the broken dam flow, and an impinging jet onto a flat plate. The numerical results compare favourably with the experimental data and the analytical solutions.",
keywords = "semi‐implicit projection method, incompressible free surface flow, bounded higher order upwind scheme, finite difference, convection discretization",
author = "Ferreira, {V. G.} and Oishi, {C. M.} and Kurokawa, {F. A.} and Kaibara, {M. K.} and Cuminato, {J. A.} and A. Castelo and N. Mangiavacchi and Tom{\'e}, {M. F.} and S. McKee",
year = "2007",
month = "6",
day = "30",
doi = "10.1002/cnm.900",
language = "English",
volume = "23",
pages = "419--445",
journal = "International Journal for Numerical Methods in Biomedical Engineering",
issn = "2040-7939",
number = "6",

}

A combination of implicit and adaptative upwind tools for the numerical solution of incompressible free surface flows. / Ferreira, V. G.; Oishi, C. M.; Kurokawa, F. A.; Kaibara, M. K.; Cuminato, J. A.; Castelo, A.; Mangiavacchi, N.; Tomé, M. F.; McKee, S.

In: International Journal for Numerical Methods in Biomedical Engineering , Vol. 23, No. 6, 30.06.2007, p. 419-445.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A combination of implicit and adaptative upwind tools for the numerical solution of incompressible free surface flows

AU - Ferreira, V. G.

AU - Oishi, C. M.

AU - Kurokawa, F. A.

AU - Kaibara, M. K.

AU - Cuminato, J. A.

AU - Castelo, A.

AU - Mangiavacchi, N.

AU - Tomé, M. F.

AU - McKee, S.

PY - 2007/6/30

Y1 - 2007/6/30

N2 - This paper is concerned with the numerical solutions of time dependent two‐dimensional incompressible flows. By using the primitive variables of velocity and pressure, the Navier–Stokes and mass conservation equations are solved by a semi‐implicit finite difference projection method. A new bounded higher order upwind convection scheme is employed to deal with the non‐linear (advective) terms. The procedure is an adaptation of the GENSMAC (J. Comput. Phys. 1994; 110:171–186) methodology for calculating confined and free surface fluid flows at both low and high Reynolds numbers. The calculations were performed by using the 2D version of the Freeflow simulation system (J. Comp. Visual. Science 2000; 2:199–210). In order to demonstrate the capabilities of the numerical method, various test cases are presented. These are the fully developed flow in a channel, the flow over a backward facing step, the die‐swell problem, the broken dam flow, and an impinging jet onto a flat plate. The numerical results compare favourably with the experimental data and the analytical solutions.

AB - This paper is concerned with the numerical solutions of time dependent two‐dimensional incompressible flows. By using the primitive variables of velocity and pressure, the Navier–Stokes and mass conservation equations are solved by a semi‐implicit finite difference projection method. A new bounded higher order upwind convection scheme is employed to deal with the non‐linear (advective) terms. The procedure is an adaptation of the GENSMAC (J. Comput. Phys. 1994; 110:171–186) methodology for calculating confined and free surface fluid flows at both low and high Reynolds numbers. The calculations were performed by using the 2D version of the Freeflow simulation system (J. Comp. Visual. Science 2000; 2:199–210). In order to demonstrate the capabilities of the numerical method, various test cases are presented. These are the fully developed flow in a channel, the flow over a backward facing step, the die‐swell problem, the broken dam flow, and an impinging jet onto a flat plate. The numerical results compare favourably with the experimental data and the analytical solutions.

KW - semi‐implicit projection method

KW - incompressible free surface flow

KW - bounded higher order upwind scheme

KW - finite difference

KW - convection discretization

UR - https://onlinelibrary.wiley.com/journal/20407947

U2 - 10.1002/cnm.900

DO - 10.1002/cnm.900

M3 - Article

VL - 23

SP - 419

EP - 445

JO - International Journal for Numerical Methods in Biomedical Engineering

JF - International Journal for Numerical Methods in Biomedical Engineering

SN - 2040-7939

IS - 6

ER -