Sellountos J Euripides

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by Sellountos J Euripides Adelia
Sequeira Instituto Seperior Tecnico CEMAT
Haemodel, Bergamo September 2006
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• Meshing and remeshing of complex geometries
  relevant to blood flow problems (stenosed, curved
  or bifurcating vessels) is easy with the
  addition-movement of nodal points

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• Meshing and remeshing of complex geometries
  relevant to blood flow problems (stenosed, curved
  or bifurcating vessels) is easy with the
  addition-movement of nodal points

• Meshless methods Computational method related
  to surface reconstruction techniques

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• Meshing and remeshing of complex geometries
  relevant to blood flow problems (stenosed, curved
  or bifurcating vessels) is easy with the
  addition-movement of nodal points

• Meshless methods Computational method related
  to surface reconstruction techniques

• Local solution of the boundary-domain integral
  equations

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• Meshing and remeshing of complex geometries
  relevant to blood flow problems (stenosed, curved
  or bifurcating vessels) is easy with the
  addition-movement of nodal points

• Meshless methods Computational method related
  to surface reconstruction techniques

• Local solution of the boundary-domain integral
  equations

• Approximation of the unknown field with randomly
  distributed nodal points only
• System of equations are in band form
• In small vessels blood behaves as a shear
  thinning (and viscoelastic fluid)

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Support domain of a nodal point
Every nodal point has an associated circular
region of influence
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Support domain of a nodal point
Every nodal point has an associated circular
region of influence
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Support domain of a nodal point
Every nodal point has an associated circular
region of influence
Neighborhood of a nodal point
Interpolation of unknown field
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Involved Integrals
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Involved Integrals
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Involved Integrals
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Involved Integrals
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Computation of shear rate and new nodal viscosity
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Check vorticitys convergence / Iteration decision
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• Mesh free method, only points are needed for the
  interpolation

• Solution of boundary integral equation

• Use of other test functions instead of
  fundamental solution

• Hypersingular integral equation for boundary
  points in kinematics equation

Thanks for your attention