2014
DOI: 10.1080/10407790.2014.894442
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Extending a Hybrid Finite-Volume-Element Method to Solve Laminar Diffusive Flame

Abstract: We extend a hybrid finite-volume-element (FVE) method to treat the laminar reacting flow in cylindrical coordinates considering the collocation of all chosen primitive variables. To approximate the advection fluxes at the cell faces, we use the upwind-biased physical influence scheme PIS and derive a few new extended expressions applicable in the cylindrical frame. These expressions are derived for both the Navier-Stokes and reactive flow governing equations, of which the latter expressions are considered nove… Show more

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Cited by 22 publications
(10 citation statements)
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“…The authors have already developed a hybrid FVE code [7,[19][20][21][22][23][24][25][26][27], which uses the advantages of both cell-centred finite-volume FV method and the finite-element FE features. The solution domain is broken into a large number of quadrilateral elements and then each element is divided into four sub-quadrilaterals.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The authors have already developed a hybrid FVE code [7,[19][20][21][22][23][24][25][26][27], which uses the advantages of both cell-centred finite-volume FV method and the finite-element FE features. The solution domain is broken into a large number of quadrilateral elements and then each element is divided into four sub-quadrilaterals.…”
Section: Methodsmentioning
confidence: 99%
“…All unknown variables are calculated at elements nodes, located at the element vertices. Assembling the four sub-quadrilaterals around a node, the finite volume cells are constructed in which the conservations laws are applied [7,[19][20][21][22][23][24][25][26][27]. Discretizing the governing equations, we obtain a few systems of linear algebraic equations, i.e.…”
Section: Methodsmentioning
confidence: 99%
“…All unknown variables are calculated at elements nodes, located at the element vertices. Assembling the four sub-quadrilaterals around a node, the finite volume cells are constructed in which the conservations laws are applied [22][23][24][25][26][27][28][29][30]. Discretizing the governing equations, we obtain a few systems of linear algebraic equations, i.e.…”
Section: Methodsmentioning
confidence: 99%
“…The authors developed a hybrid FVE-PIS code [22][23][24][25][26][27][28][29][30] to use the advantages of both the cell-centred finite-volume FV method and the finite-element FE features. The solution domain is broken into a large number of quadrilateral elements and then each element is divided into four sub-quadrilaterals.…”
Section: Methodsmentioning
confidence: 99%
“…6 In that work, we extended the two-dimensional Cartesian-based physical upwind influence scheme PIS to axisymmetric coordinates to calculate the laminar flow fluxes at the cell faces. Later, we extended the PIS to turbulent flow applications.…”
Section: Introductionmentioning
confidence: 99%