PHASTA

Parallel Hierarchic Adaptive Stabilized Transient Analysis (PHASTA) is a stabilized FEM fluid solver. It's code is publicly available on GitHub.

See the PHASTA Category for related wiki articles.

PHASTA Theory Papers and Theses

Below is a list of the papers and thesis's published over time that deal with the theory of PHASTA and it's implementation.

FEM Implementation

Papers/Theses related to the implementation of FEM theory:

• K. E. Jansen, “A stabilized finite element method for computing turbulence,” Computer Methods in Applied Mechanics and Engineering, vol. 174, no. 3, pp. 299–317, May 1999, doi: 10/fk88ft.
• J. Zdenek, “Data Parallel Finite Element Techniques for Large-scale Computational Fluid Dynamics,” Ph.D. dissertation, Stanford University, 1992.
• C. H. Whiting and K. E. Jansen, “A stabilized finite element method for the incompressible Navier–Stokes equations using a hierarchical basis,” International Journal for Numerical Methods in Fluids, vol. 35, no. 1, pp. 93–116, 2001, doi: 10/bfrxzz.
• F. Shakib, “Finite Element Analysis of the Compressible Euler and Naviers-Stokes Equations,” Ph.D. dissertation, Stanford University, 1988.
• C. H. Whiting, “Stabilized Finite Element Methods for Fluid Dynamics using a Hierarchical Basis,” Ph.D. dissertation, Rennselear Polytechnic Institute, Troy, NY, 1999. Link

Misc Numerical Implementation

• K. E. Jansen, C. H. Whiting, and G. M. Hulbert, “A generalized-α method for integrating the filtered Navier–Stokes equations with a stabilized finite element method,” Computer Methods in Applied Mechanics and Engineering, vol. 190, no. 3–4, pp. 305–319, Oct. 2000, doi: 10/dd7jb2.

Fluid Model Implementation

Papers/Theses related to the implementation of specific fluid models

• A. E. Tejada‐Martínez and K. E. Jansen, “Spatial test filters for dynamic model large-eddy simulation with finite elements,” Communications in Numerical Methods in Engineering, vol. 19, no. 3, pp. 205–213, 2003, doi: 10/b6qb2t.
• A. E. Tejada-Martı́nez and K. E. Jansen, “On the interaction between dynamic model dissipation and numerical dissipation due to streamline upwind/Petrov–Galerkin stabilization,” Computer Methods in Applied Mechanics and Engineering, vol. 194, no. 9, pp. 1225–1248, Mar. 2005, doi: 10/cxrrc3.

Misc Information

^{When at all possible, please put relevant PHASTA information in a separate page or create your own page. This section is for general information that isn't large enough to put in a new page and doesn't belong as a new part of a different page.}

PHASTA stdout:

 stopjob,lstep,istep        6500        6498         898  1.938750000000030E-002
  6499 9.515E+03 4.432E-07  (   0)   2.818E-03   6.037E-04  < 16334- 7648|  22> [  34 -  10]
  6499 9.523E+03 1.485E-08  ( -14)   5.232E-05   5.121E-04  <    68- 7863|  30> [ 120 -  80]
             CFL Flow  Step  CFLfl_max  dt    6499 8.846E-01 2.500E-06

step number, elapsed walltime, non-linear residual, (decible residual reduction), (delta u)/u, (delta p)/p, < maxNodeRes - part | ratio > , [# of CG iterations - # of GMRES iterations]