Natural convection for anomalous density variation of water: numerical benchmark
type: Item
instance of: scholarly article
title: Natural convection for anomalous density variation of water: numerical benchmark
zbMATH Open document ID: 1189.76554
DOI: 10.1504/PCFD.2005.006751
author: T. Michalek
author: Tomasz A. Kowalewski
author: B. Šarler
published in: Progress in Computational Fluid Dynamics
publication date: 2010-06-28T00:00:00Z
review text: Summary: A steady-state natural convection in a differentially heated cavity for temperatures in a vicinity of the freezing point is used to investigate and compare performance of four different numerical methods: finite differences, finite volume, finite elements and mesh-free diffuse approximation method. A primary aim of the exercise is to define a new numerical benchmark solution for natural convection problems, which includes challenging configuration of strongly non-linear buoyancy term. This configuration is used to test the performance of two popular commercial codes (Fluent and Fidap) and to compare them with two ''classical'' finite difference codes and the new promising mesh-free implementation.
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76M12
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 5727126
zbMATH Keywords: numerical simulation
zbMATH Keywords: numerical benchmarks
zbMATH Keywords: mesh-free methods
zbMATH Keywords: natural convection
zbMATH Keywords: density variation
zbMATH Keywords: water
zbMATH Keywords: finite difference method
zbMATH Keywords: finite volume method
zbMATH Keywords: finite element method
zbMATH Keywords: FEM
zbMATH Keywords: mesh-free diffuse approximation method
zbMATH Keywords: heat transfer
zbMATH Keywords: freezing point
MaRDI profile type: Publication
full work available at URL: pcfd.2005.006751
OpenAlex ID: W2125261299
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description: scientific article; zbMATH DE number 5727126