A grad-div stabilized projection finite element method for a double-diffusive natural convection model
Yunhua Zeng, Pengzhan Huang
Abstract
In this article, a grad-div stabilized projection finite element method is proposed for the double-diffusive natural convection model. Moreover, for the presented method, the stability analysis, and error estimates are deduced. Finally, numerical tests are provided that demonstrate the efficiency of the method. It is found that the presented method can improve the accuracy of the solution compared with the standard projection method, and compute approximations with better mass conservation.
Topics & Concepts
Finite element methodProjection (relational algebra)Stability (learning theory)Projection methodNatural convectionConvectionConservation of massApplied mathematicsMathematicsMathematical analysisComputer scienceMathematical optimizationMechanicsPhysicsAlgorithmDykstra's projection algorithmThermodynamicsMachine learningAdvanced Numerical Methods in Computational MathematicsComputational Fluid Dynamics and AerodynamicsDifferential Equations and Numerical Methods