Numerical solution strategy for natural convection problems in a triangular cavity using a direct meshless local Petrov-Galerkin method combined with an implicit artificial-compressibility model

DOI10.1016/j.enganabound.2021.02.006zbMath1464.76060OpenAlexW3130238638MaRDI QIDQ2662405

Pranowo, Agung Tri Wijayanta

Publication date: 13 April 2021

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2021.02.006

zbMATH Keywords

natural convectionmeshless methodthermal analysistriangular cavityartificial compressibility model

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Meshless local Petrov-Galerkin method for 2D fractional Fokker-Planck equation involved with the ABC fractional derivative

Cites Work

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• Accurate solutions to the square thermally driven cavity at high Rayleigh number
• A diagonal algorithm for the method of pseudocompressibility
• A meshfree formulation of local radial point interpolation method (LRPIM) for incompressible flow simulation
• Two-step Taylor-characteristic-based MLPG method for fluid flow and heat transfer applications
• A novel meshless method for incompressible flow calculations
• Local radial basis function collocation method for solving thermo-driven fluid-flow problems with free surface
• Meshless modeling of natural convection problems in non-rectangular cavity using the variational multiscale element free Galerkin method
• On the accuracy of the pseudocompressibility method in solving the incompressible Navier-Stokes equations
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Heat exchange in an attic space
• Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation
• Meshless numerical model based on radial basis function (RBF) method to simulate the Rayleigh-Taylor instability (RTI)
• Solving heat conduction problems by the direct meshless local Petrov-Galerkin (DMLPG) method
• A numerical method for solving incompressible viscous flow problems
• Artificial compressibility based CBS solutions for double diffusive natural convection in cavities
• New benchmark solutions for transient natural convection in partially porous annuli
• Iterative solution of the stream function-vorticity equations using a multigrid solver with finite elements
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• Upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations
• A multigrid method for solution of vorticity-velocity form of 3-D navier-stokes equations
• An efficient artificial compressibility (AC) scheme based on the characteristic based split (CBS) method for incompressible flows
• Characteristic‐based‐split (CBS) algorithm for incompressible flow problems with heat transfer
• An improved unsteady, unstructured, artificial compressibility, finite volume scheme for viscous incompressible flows: Part II. Application

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