Mechanics of non-stationary fluids: applications in aeronautics and rheology

• Grant number: 04/16064-9
• Support type: Research Projects - Thematic Grants
• Duration: March 01, 2006 - February 28, 2010
• Field of knowledge: Engineering - Mechanical Engineering - Transport Phenomena
• Principal Investigator: José Alberto Cuminato
• Grantee: José Alberto Cuminato
• Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Co-Principal Investigators: Antonio Castelo Filho ; João Luiz Filgueiras de Azevedo ; Murilo Francisco Tome
• Associated scholarship(s): 10/16865-2 - Large eddy simulation of the turbulent incompressible flows involving moving free surfaces, BP.DR; 10/07367-9 - Visualizing and Interacting with High Dimensional Data: Mathematical and Computational Aspects, BP.DR; 09/17801-0 - Mesh generation from images by topological segmentation, BP.DR; + associated scholarships 09/12510-8 - Study of numerical methods for the simulation of free surface viscoelastic flows, BP.MS; 10/06878-0 - Numerical simulation of onedimensional PDEs of convection-diffusion-reaction type by finite differences, BP.IC; 09/16954-8 - Computational simulation of turbulent non Newtonian fluids with free surfaces, BP.DR; 09/03208-6 - Optimization and development of a parallel incompressible flow code, BP.MS; 08/07367-9 - A convection scheme for conservation laws with application in 3D incompressible flows involving moving free surfaces, BP.MS; 08/08717-3 - Mesh quality control for dynamic meshes in fluid flow simulations, BP.IC; 08/06293-1 - Numerical solution of three-dimensional flows governed by integral constitutive equations: K-BKZ and UCM, BP.DR; 08/01258-3 - Development, analysis and implementation of polynomials upwind schemes of high resolution with Aplication in unsteady incompressíble flow with free surface, BP.MS; 08/02673-4 - Improvements in the accuracy and stability of numerical method for free surface flows: development, parallel programming and applications, BP.PD; 08/01878-1 - Numerical simulation of 2D multiphase flows with dynamic contact lines, BP.MS; 07/07544-5 - New semi-Lagrangian approaches for treatment of moving surfaces by using Level Sets, BP.PD; 08/01544-6 - Simulation of Unsteady Flows with Applications in Aeroelasticity, BP.DR; 07/07121-7 - Study of the finite element method with applications to fluid flows, BP.IC; 08/00507-0 - Transonic aeroelastic analysis using elastic meshes, BP.IC; 07/06128-8 - Immersed boundary methods in fluid mechanics, BP.MS; 07/07048-8 - Geometry processing for surface representation and modeling, BP.PD; 07/07038-2 - Numerical solution nematic liquid crystal, BP.DR - associated scholarships

Abstract

The numerical simulation of applications in aeroelasticity and free surface flows share the following features: the need for the geometrical representation of complex domains, mesh manipulation and mesh interpolation. These problems are dealt with in the field of geometric modeling. On the other hand a common aspect to most fluid mechanics studies is that numerical and experimental research are usually dissociated from each other. A better integration between those two areas is c1early perceived as an important objective in the academic community and, perhaps, it can be used as an indication of the maturity of a given research group. Therefore the main purpose of the present project is to bring together specialists from these different areas. The research in geometric modeling will be the foundation for the applications in aeroelasticity, computational rheology and free surface flows. The experimental work will provide results for the validation of the mathematical models and numerical techniques in aeroelasticity. (AU)

Scientific publications

(25)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

SCALABRIN, LEONARDO COSTA; AZEVEDO, JOAO LUIZ F. Numerical simulations of three-dimensional flow over a multi-stage rocket using finite volumes. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 38, n. 1, p. 1-20, JAN 2016. Web of Science Citations: 0.

CAMILO, ELIZANGELA; MARQUES, FLAVIO D.; AZEVEDO, JOAO LUIZ F. Hopf bifurcation analysis of typical sections with structural nonlinearities in transonic flow. AEROSPACE SCIENCE AND TECHNOLOGY, v. 30, n. 1, p. 163-174, OCT 2013. Web of Science Citations: 4.

CRUZ, PEDRO A.; TOME, MURILO F.; STEWART, IAIN W.; MCKEE, SEAN. Numerical solution of the Ericksen-Leslie dynamic equations for two-dimensional nematic liquid crystal flows. Journal of Computational Physics, v. 247, p. 109-136, AUG 15 2013. Web of Science Citations: 6.

BIGARELLA, ENDA DIMITRI V.; AZEVEDO, JOAO LUIZ F. A Study of Convective Flux Schemes for Aerospace Flows. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 34, n. 3, p. 314-329, JUL-SEP 2012. Web of Science Citations: 3.

LIMA, G. A. B.; FERREIRA, V. G.; CIRILO, E. R.; CASTELO, A.; CANDEZANO, M. A. C.; TASSO, I. V. M.; SANO, D. M. C.; SCALVI, L. V. A. A continuously differentiable upwinding scheme for the simulation of fluid flow problems. Applied Mathematics and Computation, v. 218, n. 17, p. 8614-8633, MAY 1 2012. Web of Science Citations: 2.

FERREIRA, V. G.; DE QUEIROZ, R. A. B.; LIMA, G. A. B.; CUENCA, R. G.; OISHI, C. M.; AZEVEDO, J. L. F.; MCKEE, S. A bounded upwinding scheme for computing convection-dominated transport problems. COMPUTERS & FLUIDS, v. 57, p. 208-224, MAR 30 2012. Web of Science Citations: 15.

SILVA, J. M.; FERREIRA, V. G.; FONTES, S. R. An evaluation of three upwinding approximations for numerical modeling the flow in tubular membrane of Newtonian and non-Newtonian fluids. Applied Mathematics and Computation, v. 217, n. 20, p. 7955-7965, JUN 15 2011. Web of Science Citations: 2.

MOMPEAN, G.; THAIS, L.; TOME, M. F.; CASTELO, A. Numerical prediction of three-dimensional time-dependent viscoelastic extrudate swell using differential and algebraic models. COMPUTERS & FLUIDS, v. 44, n. 1, p. 68-78, MAY 2011. Web of Science Citations: 8.

OISHI, C. M.; MARTINS, F. P.; TOME, M. F.; CUMINATO, J. A.; MCKEE, S. Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows. Journal of Non-Newtonian Fluid Mechanics, v. 166, n. 3-4, p. 165-179, FEB 2011. Web of Science Citations: 30.

BREVIGLIERI, CARLOS; AZEVEDO, JOAO LUIZ F.; BASSO, EDSON. An Unstructured Grid Implementation of High-Order Spectral Finite Volume Schemes. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 32, n. 5, SI, p. 419-433, DEC 2010. Web of Science Citations: 3.

BREVIGLIERI, CARLOS; AZEVEDO, JOAO LUIS F.; BASSO, EDSON; SOUZA, MAXIMILIANO A. F. Implicit High-Order Spectral Finite Volume Method for Inviscid Compressible Flows. AIAA JOURNAL, v. 48, n. 10, p. 2365-2376, OCT 2010. Web of Science Citations: 4.

TOME, M. F.; MCKEE, S.; WALTERS, K. A computational study of some rheological influences on the ``splashing experiment{''}. Journal of Non-Newtonian Fluid Mechanics, v. 165, n. 19-20, p. 1258-1264, OCT 2010. Web of Science Citations: 1.

NAGAMINE, ANDRE; ALBERTO CUMINATO, JOSE. A collocation method for solving singular integro-differential equations. BIT NUMERICAL MATHEMATICS, v. 50, n. 3, p. 657-688, SEP 2010. Web of Science Citations: 0.

CUMINATO, J. A.; FITT, A. D.; MPHAKA, M. J. S.; NAGAMINE, A. A singular integro-differential equation model for dryout in LMFBR boiler tubes. IMA JOURNAL OF APPLIED MATHEMATICS, v. 75, n. 2, p. 269-290, APR 2010. Web of Science Citations: 3.

TOME, M. F.; PAULO, G. S.; PINHO, F. T.; ALVES, M. A. Numerical solution of the PTT constitutive equation for unsteady three-dimensional free surface flows. Journal of Non-Newtonian Fluid Mechanics, v. 165, n. 5-6, p. 247-262, MAR 2010. Web of Science Citations: 14.

CRUZ, PEDRO A.; TOME, MURILO F.; STEWART, IAIN W.; MCKEE, SEAN. A numerical method for solving the dynamic three-dimensional Ericksen-Leslie equations for nematic liquid crystals subject to a strong magnetic field. Journal of Non-Newtonian Fluid Mechanics, v. 165, n. 3-4, p. 143-157, FEB 2010. Web of Science Citations: 5.

AZEVEDO, JOAO LUIZ F.; FIGUEIRA DA SILVA, LUIS F.; STRAUSS, DANIEL. Order of Accuracy Study of Unstructured Grid Finite Volume Upwind Schemes. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 32, n. 1, p. 78-93, JAN-MAR 2010. Web of Science Citations: 4.

CARLOS BREVIGLIERI; JOÃO LUIZ F. AZEVEDO; EDSON BASSO. An unstructured grid implementation of high-order spectral finite volume schemes. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 32, n. spe, p. 419-433, Dez. 2010.

TOME, MURILO F.; SILVA, RENATO A. P.; OISHI, CASSIO A.; MCKEE, SEAN. Numerical Solution of the Upper-Convected Maxwell Model for Three-Dimensional Free Surface Flows. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, v. 6, n. 2, p. 367-395, AUG 2009. Web of Science Citations: 11.

FERREIRA, V. G.; KUROKAWA, F. A.; QUEIROZ, R. A. B.; KAIBARA, M. K.; OISHI, C. M.; CUMINATO, J. A.; CASTELO, A.; TOME, M. F.; MCKEE, S. Assessment of a high-order finite difference upwind scheme for the simulation of convection-diffusion problems. International Journal for Numerical Methods in Fluids, v. 60, n. 1, p. 1-26, MAY 10 2009. Web of Science Citations: 19.

OISHI, C. M.; CUMINATO, J. A.; YUAN, J. Y.; MCKEE, S. Stability of numerical schemes on staggered grids. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, v. 15, n. 10, p. 945-967, DEC 2008. Web of Science Citations: 5.

SILVA, ROBERTO G. A.; MELLO, OLYMPIO A. F.; AZEVEDO, JOAO LUIZ F.; CHEN, P. C.; LIU, D. D. Investigation on Transonic Correction Methods for Unsteady Aerodynamics and Aeroelastic Analyses. JOURNAL OF AIRCRAFT, v. 45, n. 6, p. 1890-1903, NOV-DEC 2008. Web of Science Citations: 7.

TOME, M. F.; CASTELO, A.; FERREIRA, V. G.; MCKEE, S. A finite difference technique for solving the Oldroyd-B model for 3D-unsteady free surface flows. Journal of Non-Newtonian Fluid Mechanics, v. 154, n. 2-3, p. 179-206, OCT 2008. Web of Science Citations: 27.

MARQUES, ALEXANDRE NOLL; AZEVEDO, JOAO LUIZ F. A z-Transform Discrete-Time State-Space Formulation for Aeroelastic Stability Analysis. JOURNAL OF AIRCRAFT, v. 45, n. 5, p. 1564-1578, SEP-OCT 2008. Web of Science Citations: 2.

MCKEE‚ S.; TOME‚ MF; FERREIRA‚ VG; CUMINATO‚ JA; CASTELO‚ A.; SOUSA‚ FS; MANGIAVACCHI‚ N. The MAC method. COMPUTERS & FLUIDS, v. 37, n. 8, p. 907-930, 2008.