NAVIER_FLOW
TOMS866 / IFISS Files for the Navier-Stokes Equations

NAVIER_FLOW is a directory of MATLAB M-files which are specifically for the solution of the Navier-Stokes equations.

Author:

• Howard Elman,
  Department of Computer Science,
  University of Maryland,
  College Park, Maryland 20742,
  USA,
  elman@cs.umd.edu
• Alison Ramage,
  Department of Mathematics,
  University of Strathclyde,
  26 Richmond Street,
  Glasgow G1 1XH,
  United Kingdom,
  a.ramage@strath.ac.uk
• David Silvester,
  School of Mathematics,
  University of Manchester,
  Sackville Street,
  Manchester M60 1QD,
  United Kingdom,
  na.silvester@na-net.ornl.gov

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Source Code:

• fpsetup_q0.m Q0 pressure convection-diffusion matrix.
• fpsetup_q1.m Q1 pressure convection-diffusion matrix.
• fpsetup_q2p1.m P1 pressure convection-diffusion matrix.
• helpme_navier.m Navier-Stokes flow problem interactive help.
• localbc_xycd.m imposes vector BC for Poisson error estimator.
• navier_q1.m Q1 convection matrix.
• navier_q2.m Q2 convection matrix.
• navierpost_q1p0_bc.m postprocesses Poisson error estimator.
• navierpost_q1p0_p.m computes Poisson error estimator for Q1-P0.
• newton_q1.m Q1 convection derivative matrices.
• newton_q2.m Q2 convection derivative matrices.
• newtonbc.m imposes Dirichlet bc on Jacobian.
• null_pressure_index.m index associated with the pressure nullspace.
• pressurebc.m fixes singularity in Laplacian matrix.
• solve_navier.m solve Navier-Stokes problem in square domain.
• solve_plate_navier.m solve Navier-Stokes problem in slit domain.
• solve_step_navier.m solve Navier-Stokes problem in step domain.
• Cpre_q1p0.m generate stabilizations for least squares commutator for Q1-P0.
• Cpre_q1q1.m generate stabilizations for least squares commutator for Q1-Q1.

Subdirectories:

• test_problems, example test problems for the Navier-Stokes codes.

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