Computation of unsteady flows with moving boundaries using body fitted curvilinear moving grids

• Published in: Computers & structures 2009-06, Vol.87 (11), p.691-700
• Main Authors: Anwer, Syed Fahad, Hasan, Nadeem, Sanghi, Sanjeev, Mukherjee, S.
• Format: Article
• Language: English
• Subjects: Body-fitted grids; Classical transport; Computational techniques; Exact sciences and technology; Fluid dynamics; Fluid–structure interaction; FSI; Fundamental areas of phenomenology (including applications); General theory; Geometrical conservation law (GCL); Mathematical methods in physics; Moving grids; Physics; Solid mechanics; Statistical physics, thermodynamics, and nonlinear dynamical systems; Structural and continuum mechanics; Transport processes; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
• ISSN: 0045-7949; 1879-2243
• DOI: 10.1016/j.compstruc.2008.11.002

An algorithm is proposed for the computation of unsteady incompressible laminar flows involving moving boundaries using body-fitted coordinates. It is shown analytically and numerically that if the non-conservative form of equations (only suitable for incompressible flows) is utilized, a uniform flow field when substituted in the transport equations does not lead to any spurious terms. Therefore, computation of incompressible flows on moving or deforming grids with this methodology would eliminate any consideration like the geometrical conservation law. The results of the bench mark cases show that the procedure is quite robust and yields accurate results.