Verification and validation in computational fluid dynamics

Progress in Aerospace Sciences

Volumn 38, Issue 3, 2002, Pages 209-272

  Oberkampf, William L ^a   Trucano, Timothy G ^a  

^a SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; DATA ACQUISITION; ERROR ANALYSIS; HYPERSONIC AERODYNAMICS; OPERATIONS RESEARCH; SOFTWARE ENGINEERING; UNCERTAIN SYSTEMS;

HYPERSONIC CRUISE MISSILES;

AEROSPACE ENGINEERING;

EID: 0036544606     PISSN: 03760421     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0376-0421(02)00005-2     Document Type: Review

References (353)

1. Experimental methodology for computational fluid dynamics code validation
2. Uncertainty in the specification of surface characteristics: A study of prediction errors in the boundary layer
3. The nature of uncertainty in structural engineering
4. A posteriori error estimation for finite element solutions of Helmholtz' equation - Part II: Estimation of the pollution error
5. Pollution problem of the p- and h-p versions of the finite element method
6. A posteriori estimation and adaptive control of the pollution error in the h-version of the finite element method
7. The scientific method of choosing model fidelity
8. Properties of the mean recirculation region in the wakes of two-dimensional bluff bodies
9. Formulated problem verification as an explicit requirement of model credibility
10. A bibliography on the credibility assessment and validation of simulation and mathematical models
11. Role of code validation and certification in the design environment
12. Three-dimensional floquet stability analysis of the wake of a circular cylinder
13. Stream function-vorticity driven cavity solution using p finite elements
14. Water quality modeling: A review of the analysis of uncertainty
15. Validation issues for engine - Airframe integration
16. Developing a data base for the calibration and validation of hypersonic CFD codes - Sharp cones
17. Variable grid scheme applied to turbulent boundary layers
18. Investigation of some finite-difference techniques for solving the boundary layer equations
19. Influence of boundary approximations and conditions on finite-difference solutions
20. Accurate Navier-Stokes results for the hypersonic flow over a spherical nosetip
21. Computing singular solutions of the Navier-Stokes equations with the Chebyshev-collocation method
22. The numerical solution of the Navier-Stokes equations for laminar, incompressible flow past a parabolic cylinder
23. 10-commandments of formal methods
24. Testability and meaning
25. Accuracy of shock capturing in two spatial dimensions
26. ERCOFTAC special interest group on quality and trust in industrial CFD: Best practices guidelines
27. Verification, validation, and accreditation (VV & A) of models and simulations through reduced order metamodels
28. Calculation of numerical uncertainty using Richardson extrapolation: Application to some simple turbulent flow calculations
29. Computers vs. wind tunnels
30. A numerical revisit of backward-facing step flow problem
31. Large-eddy simulation of a nocturnal stratocumulus-topped marine atmospheric boundary layer: An uncertainty analysis
32. Optimal prediction of underresolved dynamics
33. Unresolved computation and optimal prediction
34. Uncertainties and CFD code validation
35. Some tactical problems in digital simulation
36. Issues in aerospace application of CFD analysis
37. CFD validation requirements for technology transition
38. Experimental data needs for risk management in CFD applications
39. Nonlinear sensitivity analysis of multiparameter model systems
40. Laminar incompressible flow past a semi-infinite flat plate
41. Numerical solution of the Navier-Stokes equations for symmetric laminar incompressible flow past a parabola
42. Natural convection of air in a square cavity: A benchmark numerical solution
43. Numerical solutions for steady symmetric viscous flow past a parabolic cylinder in a uniform stream
44. Revisiting the issue of model validation in OR: An epistemological view
45. Convergence studies with the Sandia Ocean Modeling system
46. High-speed turbulent separated flows: Consistency of mathematical models and flow physics
47. Assessment and propagation of model uncertainty
48. Short-range ensemble forecasting of quantitative precipitation
49. The relation between computational fluid dynamics and experiment
50. Exact fully 3D Navier-Stokes solutions for benchmarking
51. Different methods are needed to propagate ignorance and variability
52. Further discussion of numerical errors in CFD
53. Generating exact solutions of the two-dimensional burgers equations
54. Localization of HOPF bifurcations in fluid flow problems
55. An assessment procedure for simulation models: A case study
56. Treatment of uncertainties in space nuclear risk assessment with examples from Cassini mission applications
57. Characterizing, simulating, and analyzing variability and uncertainty: An illustration of methods using an air toxics emissions example
58. CSE: Content and product
59. A test problem for outflow boundary conditions-flow over a backward-facing step
60. Model Accreditation: A rationale and process for determining a numerical rating
61. Spurious velocities in the steady flow of an incompressible fluid subjected to external forces
62. Some experiments with stability analysis of discrete incompressible flow in the lid-driven cavity
63. High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
64. Is the steady viscous incompressible two-dimensional flow over a backward-facing step at Re=800 stable?
65. Open boundary conditions in the simulation of subsonic turbulent shear flows
66. Integral transform solution for the lid-driven cavity flow problem in streamfunction-only formulation
67. Benchmark integral transform results for flow over a backward-facing step
68. Computational verifiability and feasibility of the ASCI program
69. Capturing correct solutions in CFD, 515
70. A probabilistic forecast contest and the difficulty in assessing short-range forecast uncertainty
71. Model validation: An annotated bibliography
72. An integral equation justification of the boundary conditions of the driven-cavity problem
73. A framework for assessing uncertainties in simulation predictions
74. The T experiments: Errors in scientific software
75. A global approach to error estimation and physical diagnostics in multidimensional computational fluid dynamics
76. Uncertainty and sensitivity analysis techniques for use in performance assessment for radioactive waste disposal
77. Treatment of uncertainty in performance assessments for complex systems
78. Uncertainty and sensitivity analysis in the presence of stochastic and subjective uncertainty
79. Uncertainty and sensitivity analysis in performance assessment for the waste isolation pilot plant
80. Propagation of uncertainty in risk assessments: The need to distinguish between uncertainty due to lack of knowledge and uncertainty due to variability
81. A database of aerothermal measurements in hypersonic flow for CFD validation
82. A database of aerothermal measurements in hypersonic flow for CFD validation
83. Aleatory and epistemic uncertainty in probability elicitation with an example from hazardous waste management
84. Finite volume multigrid prediction of laminar natural convection: Bench-mark solutions
85. Quality and trust in industrial CFD - A European perspective
86. IEEE standard dictionary of electrical and electronics terms
87. IEEE standard glossary of software engineering terminology
88. An investigation of uncertainty and sensitivity analysis techniques for computer models
89. Mesh refinement and modeling errors in flow simulation
90. A review of fault management techniques used in safety-critical avionic systems
91. Three-dimensional dynamics and transition to turbulence in the wake of bluff objects
92. Sensitivity analysis versus uncertainty analysis: When to use what?
93. Statistical validation of simulation models
94. Verification and validation of simulation models
95. Validation in simulation: Various positions in the philosophy of science
96. Program verification
97. Model validation in operations research
98. In search of a valid view of model validation for operations research
99. Model uncertainty: Theory and practical implications
100. Statistical validation for uncertainty models
101. On statistical model validation, journal of dynamic systems
102. Predictive software validation methodology for use with experiments having limited replicability
103. Model definition and model validation
104. Development of evaluation criteria and a procedure for assessing predictive capability and code performance
105. Benchmarks for submerged structure response to underwater explosions
106. Perspective on computational fluid dynamics validation
107. A benchmark for inviscid incompressible flow in spinning containers
108. Computational requirements for hypersonic flight performance estimates
109. Some aspects of uncertainty in computational fluid dynamics results
110. Guide to credible computational fluid dynamics simulations
111. Guide to credible computer simulations of fluid flows
112. A foundational concept of science appropriate for validation in operational research
113. Effect of three-dimensionality on the lift and drag of nominally two-dimensional cylinders
114. Effects of intrinsic three-dimensionality on the drag characteristics of a normal flat plate
115. Verification of computer simulation models
116. CFD validation - The interaction of experimental capabilities and numerical computations
117. Higher-order solutions of square driven cavity flow using a variable-order multi-grid method
118. Accurate solutions of the Navier-Stokes equations despite unknown outflow boundary data
119. Can you trust software capability evaluations?
120. A proposed framework for computational fluid dynamics code calibration/validation
121. Joint computational/experimental aerodynamics research on a hypersonic vehicle: Part 1, experimental results
122. Surface pressure measurements for CFD code validation in hypersonic flow
123. Surface pressure measurements on a hypersonic vehicle
124. Issues in computational fluid dynamics code verification and validation
125. Methodology for computational fluid dynamics code verification/validation
126. A new methodology for the estimation of total uncertainty in computational simulation
127. Local and pollution error estimation for Stokesian flow
128. The facets of the modeling and validation process in operations research
129. Concepts and criteria to assess acceptability of simulation studies: A frame of reference
130. Verification, validation, and confirmation of numerical models in the earth sciences
131. Fidelity Considerations for RDE distributed simulation, 1
132. Dimensions and attributes of simulation fidelity, 1
133. Exploring the validity of the Spalart-Allmaras turbulence model for hypersonic flows
134. Predicting uncertainty in forecasts of weather and climate
135. The characterization of uncertainty in probabilistic risk assessments of complex systems
136. Uncertainties in risk analysis: Six levels of treatment
137. A summary/overview of selected computational fluid dynamics (CFD) code validation/calibration activities
138. A general framework for the analysis of uncertainty and variability in risk assessment
139. Computational fluid dynamics validation issues in transition modeling
140. The deferred approach to the limit
141. Toward establishing credibility in computational fluid dynamics simulations
142. Scaling of high-Reynolds-number weakly separated channel flows
143. Need for control of numerical accuracy
144. Perspective: A method for uniform reporting of grid refinement studies
145. Verification of Codes and Calculations
146. Quantification of uncertainty in computational fluid dynamics
147. Verification of codes and calculations
148. Editorial policy statement on the control of numerical accuracy
149. Completed Richardson extrapolation
150. Experience with benchmark test cases for groundwater flow
151. Understanding uncertainty
152. Assessment of one- and two-equation turbulence models for hypersonic flows
153. Verification and validation for laminar hypersonic flowfields
154. Grid resolution studies of radionuclide transport in fractured porous media
155. Guest editorial: The role of sensitivity analysis in the corroboration of models and its link to model structural and parametric uncertainty
156. Ensemble simulations of explosive cyclogenesis at ranges of 2-5 days
157. Simulation model validation
158. An expository on verification and validation of simulation models
159. Validation of mathematical models
160. Verifying and validating simulation models
161. Terminology for model credibility
162. Driven cavity flows by efficient numerical techniques
163. Analytical solutions of the nonlinear groundwater flow equation in unconfined aquifers and the effect of heterogeneity
164. Supersonic and hypersonic shock/boundary-layer interaction database
165. Model validation: A systemic and systematic approach
166. A procedure to debug computer-programs
167. Effects of grid staggering on numerical schemes
168. Evaluation of algebraic turbulence models for PNS predictions of supersonic flow past a sphere-cone
169. On the development and demonstration of a code validation process for industrial applications
170. Overview of the state-of-practice of computational fluid dynamics in advanced propulsion system design
171. Validation of CFD codes and assessment of CFD simulations
172. Accurate solutions for steady plane flow in the driven cavity. I. Stokes flow
173. A finite difference technique involving discontinuous derivatives
174. Symbolic manipulation and computational fluid dynamics
175. A critical look at quality in large-scale simulations
176. Radionuclide transport in the vicinity of the repository and associated complementary cumulative distribution functions in the 1996 performance assessment for the waste isolation pilot plant
177. Contaminant transport in fractured porous media: Analytical solutions for a system of parallel fractures
178. 2D lid-driven cavity flow at high Reynolds numbers: Some interesting fluid-dynamical issues
179. Some simple analytic solutions of the Navier-Stokes equations
180. A broad view of model validation
181. The Navier-Stokes solution for laminar flow past a semi-infinite flat plate
182. Adjoint error estimation and grid adaptation for functional outputs: Application to quasi-one-dimensional flow
183. Evaluation of artificial dissipation models and their relationship to the accuracy of Euler and Navier-Stokes computations, 515
184. Numerical analysis on non-smooth problems: Some examples
185. Joint computational/experimental aerodynamics research on a hypersonic vehicle: Part 2, computational results
186. Exact solutions of the steady-state Navier-Stokes equations
187. The role of the PIRT in experiments, code development and code applications associated with reactor safety assessment
188. Aspects of numerical uncertainties in time marching to steady-state numerical solutions
189. Laminar viscous flow past a semi-infinite flat plate
190. Enduring values
191. A comparison of seven geostatistically based inverse approaches to estimate transmissivities for modeling advection transport by groundwater flow
192. Grid studies for thin-layer Navier-Stokes computations of airfoil flowfields