A review on development and applications of element-free galerkin methods in computational fluid dynamics
Wah Yen Tey, Yutaka Asako, K.C. Ng, Wei-Haur Lam
2020International Journal for Computational Methods in Engineering Science and Mechanics12 citationsDOI
Abstract
Element-free Galerkin (EFG) method was formulated to simulate elastic fracture in structural mechanics and it possesses great advantages by allowing more flexible numerical treatment on moving interface without mesh regeneration. It has become the research interest of scientific computing to transplant the EFG algorithm into Computational Fluid Dynamics (CFD) whenever deforming boundaries set in. However, compared with Arbitrary-Lagrangian-Eulerian method and Immersed Boundary method, the development and application of EFG method in CFD is still in infancy. The goal of the review paper is to systematically bridge the current development of EFG methods with its future applications in CFD.
Topics & Concepts
Galerkin methodDynamics (music)Computational fluid dynamicsFluid dynamicsFinite element methodElement (criminal law)Statistical physicsClassical mechanicsComputer scienceApplied mathematicsMathematicsMechanicsPhysicsThermodynamicsLawAcousticsPolitical scienceNumerical methods in engineeringFluid Dynamics Simulations and InteractionsAdvanced Numerical Methods in Computational Mathematics