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A variational solution to the transport equation subject to an affine constraint.

Description: We establish an existence and uniqueness theorem for the transport equation subject to an inequality affine constraint, viewed as a constrained optimization problem. Then we derive a Space-Time Integrated Least Squares (STILS) scheme for its numerical approximation. Furthermore, we discuss some L{sup 2}-projection strategies and with numerical examples we show that there are not relevant for that problem.
Date: February 1, 2004
Creator: Pousin, Jerome G. (National Institute of Applied Sciences, Villeurbanne Cedex, France); Najm, Habib N.; Picq, Martine (National Institute of Applied Sciences, Villeurbanne Cedex, France) & Pebay, Philippe Pierre
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
open access

Visualization of Instrumental Verification Information Details (VIVID) : code development, description, and usage.

Description: The formulation, implementation and usage of a numerical solution verification code is described. This code uses the Richardson extrapolation procedure to estimate the order of accuracy and error of a computational program solution. It evaluates multiple solutions performed in numerical grid convergence studies to verify a numerical algorithm implementation. Analyses are performed on both structured and unstructured grid codes. Finite volume and finite element discretization programs are examin… more
Date: March 1, 2005
Creator: Roy, Christopher John; Bainbridge, Bruce L.; Potter, Donald L.; Blottner, Frederick G. & Black, Amalia Rebecca
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
open access

Validation of a simple turbulence model suitable for closure of temporally-filtered Navier-Stokes equations using a helium plume.

Description: A validation study has been conducted for a turbulence model used to close the temporally filtered Navier Stokes (TFNS) equations. A turbulence model was purposely built to support fire simulations under the Accelerated Strategic Computing (ASC) program. The model was developed so that fire transients could be simulated and it has been implemented in SIERRA/Fuego. The model is validated using helium plume data acquired for the Weapon System Certification Campaign (C6) program in the Fire Labora… more
Date: June 1, 2005
Creator: Tieszen, Sheldon Robert; Domino, Stefan Paul & Black, Amalia Rebecca
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
open access

A data storage model for novel partial differential equation descretizations.

Description: The purpose of this report is to define a standard interface for storing and retrieving novel, non-traditional partial differential equation (PDE) discretizations. Although it focuses specifically on finite elements where state is associated with edges and faces of volumetric elements rather than nodes and the elements themselves (as implemented in ALEGRA), the proposed interface should be general enough to accommodate most discretizations, including hp-adaptive finite elements and even mimetic… more
Date: April 1, 2007
Creator: Doyle, Wendy S.K.; Thompson, David C. & Pebay, Philippe Pierre
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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