CFD on moving grids: from theory to realistic flutter, maneuvering, and multidisciplinary optimization

As application of computational fluid dynamics (CFD) technology grows from the simulation of flows around fixed and rigid obstacles to the prediction of flows past flexible and/or moving bodies, interest in CFD on dynamic meshes increases. This paper reviews some of the theoretical and computational advances made in this area, highlights sample applications they have enabled in aeroelasticity and multidisciplinary optimization, and concludes with a brief discussion of a specific barrier to progress.

[1]  Charbel Farhat,et al.  Design and Time-Accuracy Analysis of ALE Schemes for Inviscid and Viscous Flow Computations on Moving Meshes , 2003 .

[2]  Antony Jameson,et al.  Aerodynamic design via control theory , 1988, J. Sci. Comput..

[3]  Charbel Farhat,et al.  Second-order time-accurate and geometrically conservative implicit schemes for flow computations on unstructured dynamic meshes , 1999 .

[4]  C. Farhat,et al.  Coupled Analytical Sensitivity Analysis and Optimization of Three-Dimensional Nonlinear Aeroelastic Systems , 2001 .

[5]  Gregory W. Brown,et al.  Application of a three-field nonlinear fluid–structure formulation to the prediction of the aeroelastic parameters of an F-16 fighter , 2003 .

[6]  J. Halleux,et al.  An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions , 1982 .

[7]  Charbel Farhat,et al.  On the significance of the geometric conservation law for flow computations on moving meshes , 2000 .

[8]  Charbel Farhat,et al.  Multidisciplinary Simulation of the Maneuvering of an Aircraft , 2001, Engineering with Computers.

[9]  C. Farhat,et al.  Torsional springs for two-dimensional dynamic unstructured fluid meshes , 1998 .

[10]  Hervé Guillard,et al.  Godunov type method on non-structured meshes for three-dimensional moving boundary problems , 1994 .

[11]  R. Fedkiw,et al.  Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method , 2002 .

[12]  Antony Jameson,et al.  Control theory based airfoil design using the Euler equations , 1994 .

[13]  Charbel Farhat,et al.  The discrete geometric conservation law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids , 2001 .

[14]  C. Farhat,et al.  Mixed explicit/implicit time integration of coupled aeroelastic problems: Three‐field formulation, geometric conservation and distributed solution , 1995 .

[15]  Charbel Farhat,et al.  Aeroelastic Dynamic Analysis of a Full F-16 Configuration for Various Flight Conditions , 2003 .

[16]  Jer-Nan Juang,et al.  An eigensystem realization algorithm for modal parameter identification and model reduction. [control systems design for large space structures] , 1985 .

[17]  Charbel Farhat,et al.  Optimization of aeroelastic systems using coupled analytical sensitivities , 2000 .

[18]  Charbel Farhat,et al.  On the significance of the GCL for flow computations on moving meshes , 1999 .

[19]  Osama A. Kandil,et al.  Unsteady vortex-dominated flows around maneuvering wings over a wide range of Mach numbers , 1988 .

[20]  P. Thomas,et al.  Geometric Conservation Law and Its Application to Flow Computations on Moving Grids , 1979 .

[21]  Charbel Farhat,et al.  Geometric conservation laws for aeroelastic computations using unstructured dynamic meshes , 1995 .

[22]  Fabio Nobile,et al.  A Stability Analysis for the Arbitrary Lagrangian Eulerian Formulation with Finite Elements , 1999 .

[23]  Charbel Farhat,et al.  Computation of unsteady viscous flows around moving bodies using the k–ε turbulence model on unstructured dynamic grids , 2000 .

[24]  Maynard C. Sandford,et al.  Geometrical and structural properties of an Aeroelastic Research Wing (ARW-2) , 1989 .

[25]  S. Osher,et al.  Level set methods: an overview and some recent results , 2001 .

[26]  J. Batina Unsteady Euler airfoil solutions using unstructured dynamic meshes , 1989 .

[27]  Charbel Farhat,et al.  Geometric conservation laws for flow problems with moving boundaries and deformable meshes, and their impact on aeroelastic computations , 1996 .

[28]  Charbel Farhat,et al.  A three-dimensional torsional spring analogy method for unstructured dynamic meshes , 2002 .

[29]  Charbel Farhat,et al.  CFD‐Based Nonlinear Computational Aeroelasticity , 2004 .

[30]  Charbel Farhat,et al.  Sensitivity analysis and design optimization of three‐dimensional non‐linear aeroelastic systems by the adjoint method , 2003 .

[31]  Charbel Farhat,et al.  Design and analysis of robust ALE time-integrators for the solution of unsteady flow problems on moving grids , 2004 .

[32]  Charbel Farhat,et al.  Design and analysis of ALE schemes with provable second-order time-accuracy for inviscid and viscous flow simulations , 2003 .

[33]  Lucy T. Zhang,et al.  A Parallelized Meshfree Method with Boundary Enrichment for Large-Scale CFD , 2002 .

[34]  Carlo L. Bottasso,et al.  The ball-vertex method: a new simple spring analogy method for unstructured dynamic meshes , 2005 .

[35]  Alan E. Arslan,et al.  Navier-Stokes computations of limit cycle oscillations for a B-1-like configuration , 2000 .

[36]  Russ D. Rausch,et al.  Euler flutter analysis of airfoils using unstructured dynamic meshes , 1989 .