6533b7cefe1ef96bd12578aa
RESEARCH PRODUCT
FINITE ELEMENT RESOLUTION OF CONVECTION-DIFFUSION EQUATIONS WITH INTERIOR AND BOUNDARY LAYERS
Rafael TorresFrancisco ChinestaF. Olmossubject
PolynomialApplied MathematicsMechanical EngineeringMathematical analysisSpectral element methodComputational MechanicsBoundary (topology)Laminar flowFinite element methodComputer Science ApplicationsMechanics of MaterialsMesh generationConvection–diffusion equationExtended finite element methodMathematicsdescription
We present a new algorithm for the resolution of both interior and boundary layers present in the convection-diffusion equation in laminar regimes, based on the formulation of a family of polynomial-exponential elements. We have carried out an adaptation of the standard variational methods (finite element method and spectral element method), obtaining an algorithm which supplies non-oscillatory and accurate solutions. The algorithm consists of generating a coupled grid of polynomial standard elements and polynomial-exponential elements. The latter are able to represent the high gradients of the solution, while the standard elements represent the solution in the areas of smooth variation.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-04-15 | International Journal for Numerical Methods in Fluids |