A boundary condition for arbitrary shaped inlets in lattice-Boltzmann simulations

K. Mattila; J. Hyvaluoma; T. Rossi; Amos Folarin

doi:10.1002/fld.2101

A boundary condition for arbitrary shaped inlets in lattice-Boltzmann simulations

K. Mattila^*, J. Hyvaluoma, T. Rossi, Amos Folarin

^*Corresponding author for this work

Univ Jyvaskyla, Jyvaskyla

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We introduce a mass-flux-based inlet boundary condition for the lattice-Boltzmann method. The proposed boundary condition requires minimal amount of boundary data, it produces a steady-state velocity field which is accurate close to the inlet even for arbitrary inlet geometries, and yet it is simple to implement. We demonstrate its capability for both simple and complex inlet geometries by numerical experiments. For simple inlet geometries, we show that the boundary condition provides very accurate inlet velocities when Re less than or similar to 1. Even with moderate Reynolds number, the inlet velocities are accurate for practical purposes. Furthermore, the potential of our boundary condition to produce inlet velocities which convincingly adapt to complex inlet geometries is highlighted with two specific examples.

Original language	English
Pages (from-to)	638-650
Number of pages	13
Journal	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Volume	63
Issue number	5
DOIs	https://doi.org/10.1002/fld.2101
Publication status	Published - 20 Jun 2010

Keywords

lattice-Boltzmann method
flow simulation
inlet boundary condition
vascular system
NAVIER-STOKES EQUATION
BLOOD-FLOW
MODEL
FLUID
PERMEABILITY
PRESSURE

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10.1002/fld.2101

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title = "A boundary condition for arbitrary shaped inlets in lattice-Boltzmann simulations",

abstract = "We introduce a mass-flux-based inlet boundary condition for the lattice-Boltzmann method. The proposed boundary condition requires minimal amount of boundary data, it produces a steady-state velocity field which is accurate close to the inlet even for arbitrary inlet geometries, and yet it is simple to implement. We demonstrate its capability for both simple and complex inlet geometries by numerical experiments. For simple inlet geometries, we show that the boundary condition provides very accurate inlet velocities when Re less than or similar to 1. Even with moderate Reynolds number, the inlet velocities are accurate for practical purposes. Furthermore, the potential of our boundary condition to produce inlet velocities which convincingly adapt to complex inlet geometries is highlighted with two specific examples. ",

keywords = "lattice-Boltzmann method, flow simulation, inlet boundary condition, vascular system, NAVIER-STOKES EQUATION, BLOOD-FLOW, MODEL, FLUID, PERMEABILITY, PRESSURE",

author = "K. Mattila and J. Hyvaluoma and T. Rossi and Amos Folarin",

year = "2010",

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doi = "10.1002/fld.2101",

language = "English",

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TY - JOUR

T1 - A boundary condition for arbitrary shaped inlets in lattice-Boltzmann simulations

AU - Mattila, K.

AU - Hyvaluoma, J.

AU - Rossi, T.

AU - Folarin, Amos

PY - 2010/6/20

Y1 - 2010/6/20

N2 - We introduce a mass-flux-based inlet boundary condition for the lattice-Boltzmann method. The proposed boundary condition requires minimal amount of boundary data, it produces a steady-state velocity field which is accurate close to the inlet even for arbitrary inlet geometries, and yet it is simple to implement. We demonstrate its capability for both simple and complex inlet geometries by numerical experiments. For simple inlet geometries, we show that the boundary condition provides very accurate inlet velocities when Re less than or similar to 1. Even with moderate Reynolds number, the inlet velocities are accurate for practical purposes. Furthermore, the potential of our boundary condition to produce inlet velocities which convincingly adapt to complex inlet geometries is highlighted with two specific examples.

AB - We introduce a mass-flux-based inlet boundary condition for the lattice-Boltzmann method. The proposed boundary condition requires minimal amount of boundary data, it produces a steady-state velocity field which is accurate close to the inlet even for arbitrary inlet geometries, and yet it is simple to implement. We demonstrate its capability for both simple and complex inlet geometries by numerical experiments. For simple inlet geometries, we show that the boundary condition provides very accurate inlet velocities when Re less than or similar to 1. Even with moderate Reynolds number, the inlet velocities are accurate for practical purposes. Furthermore, the potential of our boundary condition to produce inlet velocities which convincingly adapt to complex inlet geometries is highlighted with two specific examples.

KW - lattice-Boltzmann method

KW - flow simulation

KW - inlet boundary condition

KW - vascular system

KW - NAVIER-STOKES EQUATION

KW - BLOOD-FLOW

KW - MODEL

KW - FLUID

KW - PERMEABILITY

KW - PRESSURE

U2 - 10.1002/fld.2101

DO - 10.1002/fld.2101

M3 - Article

SN - 0271-2091

VL - 63

SP - 638

EP - 650

JO - INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

JF - INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

IS - 5

ER -

A boundary condition for arbitrary shaped inlets in lattice-Boltzmann simulations

Abstract

Keywords

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