An Adaptive Streamline Tracking Method for Two-Dimensional CFD Velocity Fields Based on the Law of Mass Conservation

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Abstract

This paper proposes an adaptive streamline tracking method for two-dimensional CFD velocity fields. We assume that the multiplication of an unknown scalar function and the linear interpolation of a CFD velocity field satisfies the law of mass conservation and then derive the expressions of the scalar function. The adaptive streamline tracking method seeks more data in a cell of meshes when there are points at which the scalar function equals to infinity in the cell. Exact tangent curves for linear vector fields are used to draw streamline segments in triangles. Examples in the last section show that the adaptive streamline tracking method can be used to draw more accurate streamlines if we choose a larger threshold number.
Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalJournal of Flow Visualization and Image Processing
Volume13
Issue number1
DOIs
Publication statusPublished - 2006

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charge flow devices
conservation
Conservation
Computational fluid dynamics
velocity distribution
scalars
cells
tangents
multiplication
triangles
infinity
interpolation
mesh
Interpolation
thresholds
curves

Cite this

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title = "An Adaptive Streamline Tracking Method for Two-Dimensional CFD Velocity Fields Based on the Law of Mass Conservation",
abstract = "This paper proposes an adaptive streamline tracking method for two-dimensional CFD velocity fields. We assume that the multiplication of an unknown scalar function and the linear interpolation of a CFD velocity field satisfies the law of mass conservation and then derive the expressions of the scalar function. The adaptive streamline tracking method seeks more data in a cell of meshes when there are points at which the scalar function equals to infinity in the cell. Exact tangent curves for linear vector fields are used to draw streamline segments in triangles. Examples in the last section show that the adaptive streamline tracking method can be used to draw more accurate streamlines if we choose a larger threshold number.",
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AB - This paper proposes an adaptive streamline tracking method for two-dimensional CFD velocity fields. We assume that the multiplication of an unknown scalar function and the linear interpolation of a CFD velocity field satisfies the law of mass conservation and then derive the expressions of the scalar function. The adaptive streamline tracking method seeks more data in a cell of meshes when there are points at which the scalar function equals to infinity in the cell. Exact tangent curves for linear vector fields are used to draw streamline segments in triangles. Examples in the last section show that the adaptive streamline tracking method can be used to draw more accurate streamlines if we choose a larger threshold number.

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