PHASTA

Parallel Hierarchic Adaptive Stabilized Transient Analysis (PHASTA) is a stabilized FEM fluid solver. It's code is publicly available on GitHub. It is pronounced pasta, as in the food.

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.
• A. E. Tejada-Martınez, “Dynamic Subgrid-Scale Modeling for Large-Eddy Simulation of Turbulent Flows with a Stabilized Finite Element Method,” Ph.D. dissertation, Rensselaer Polytechnic Institute, Troy, NY, 2002.

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]