Divergence-free Wavelet Projection Method for Incompressible Viscous Flow
type: Dataset
description: We present a new wavelet numerical scheme for the discretization of Navier-Stokes equations with physical boundary conditions. The temporal discretization of the method is inspired from the projection method. Helmholtz-Hodge decomposition using divergence-free and curl-free wavelet bases satisfying physical boundary conditions allows to define the projection operator. This avoids the use of Poisson equation solver and reduce the steps of usual methods with more accuracy. Numerical experiments conducted on lid driven cavity flow simulation show the effectiveness and the precision of the method.
landing page: https://hal.science/hal-00798417
keyword: divergence-free-wavelets
keyword: infoeu-reposemanticspreprint
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: mathmath-namathematics-mathnumerical-analysis-mathna
keyword: navier-stokes-simulation
keyword: physical-boundary-conditions
keyword: preprints-working-papers-
issued: 2026-05-13T06:12:21.399311
modified: 2026-05-13T06:12:21.399316
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Divergence-free Wavelet Projection Method for Incompressible Viscous Flow
type: Distribution
format: HTML
access URL: https://hal.science/hal-00798417
issued: 2026-05-13T06:12:21.435928
modified: 2026-05-13T06:12:21.369250