An Effective Approach to Computation of Forces in Viscous Incompressible Flows

@article{Protas2000AnEA,
  title={An Effective Approach to Computation of Forces in Viscous Incompressible Flows},
  author={Bartosz Protas and Andrzej Styczek and Andrzej F. Nowakowski},
  journal={Journal of Computational Physics},
  year={2000},
  volume={159},
  pages={231-245}
}
In the paper we present an effective method to compute forces in external flows of viscous incompressible fluids. It is an extension of the variational approach proposed initially by Quartapelle and Napolitano (1983, AIAA J. 21, 911) and is particularly well adapted to the case where a vortex method is used to solve the hydrodynamic problem. The derived formula involves a harmonic function ? and a convenient method for its determination is also shown. The effectiveness of the presented approach… 
View via Publisher
ms.mcmaster.ca
26 Citations
Background Citations
7
Methods Citations
9

Figures from this paper

26 Citations

On an attempt to simplify the Quartapelle–Napolitano approach to computation of hydrodynamic forces in open flows

On the use of conformal mapping for the computation of hydrodynamic forces acting on bodies of arbitrary shape in viscous flow. Part 1: simply connected body

Some aspects of the force and moment computations in incompressible and viscous flows are revisited. The basic idea was developed in Quartapelle and Napolitano (AIAA J. 21:991–913, 1983). They…

On Calculation of Hydrodynamic Forces for Steady Flows in Unbounded Domains

On the magnetization-based Lagrangian methods for 2D and 3D viscous flows. Part 1 – theoretical background

The paper presents the background of an alternative formulation of the Navier-Stokes equation using a variable called the magnetization. Several variants of governing equations, based on different…

On the non-intrusive evaluation of fluid forces with the momentum equation approach

The aim of this paper is to discuss the advantages and difficulties linked with the experimental application of the momentum equation approach as a non-intrusive way to predict the unsteady loads…

On the use of conformal mapping for the computation of hydrodynamic forces acting on bodies of arbitrary shape in viscous flow. Part 2: multi-body configuration

Two-dimensional viscous flows around obstacles are considered in an unbounded liquid. The basic idea developed in Part 1 is further extended from a single body to multi-body configurations. This idea…

A Review of Fluid Forces Induced by a Circular Cylinder Oscillating at Low Amplitude and High Frequency in Cylindrical Confinement

This paper deals with fluid forces induced by an oscillating rigid circular cylinder in a fluid initially at rest. The amplitude of the imposed movement is assumed sufficiently small so that no wake…

Determination of the instantaneous forces on flapping wings from a localized fluid velocity field

Expressions are derived to relate the instantaneous pressure force on a flapping wing to the velocity field on a plane at the trailing edge and on a highly localized region around and near the wing,…

A ‘reciprocal’ theorem for the prediction of loads on a body moving in an inhomogeneous flow at arbitrary Reynolds number

Abstract Several forms of a theorem providing general expressions for the force and torque acting on a rigid body of arbitrary shape moving in an inhomogeneous incompressible flow at arbitrary…

A COMPARISON OF METHODS FOR EVALUATING TIME-DEPENDENT FLUID DYNAMIC FORCES ON BODIES, USING ONLY VELOCITY FIELDS AND THEIR DERIVATIVES

Abstract We continue with the 1997 work of Noca et al. and offer some additional closed-form expressions (and their derivations) for the evaluation of time-dependent forces on a body in an…

References

SHOWING 1-10 OF 12 REFERENCES

The pressure problem in the stochastic vortex blob method

The paper deals with the problem of recovering pressure from the given vorticity and velocity fields. Both fields result from the stochastic vortex-blob simulation of the viscous incompressible flow.…

Computational investigation of drag reduction on a rotationally oscillating cylinder

The reduction of drag on a circular cylinder in two-dimensional incompressible flow, achieved using oscillatory body rotation, is investigated to reveal the physics responsible for the force…

An Introduction to Fluid Dynamics

Keywords: dynamique des : fluides Reference Record created on 2005-11-18, modified on 2016-08-08

Force and moment in incompressible flows

Incompressible Fluid Dynamics: Some Fundamental Formulation Issues

Measuring instantaneous fluid dynamic forces on bodies, using only velocity fields and their derivatives

We present an exact expression for the evaluation of instantaneous forces on a body in an incompressible cross-flow which only requires the knowledge of the velocity and vorticity field in a finite…

On the evaluation of time-dependent fluid-dynamic forces on bluff bodies

Introduction to Fluid Dynamics (Cambridge

  • 1967

Styczek, The pressure problem in the stochastic vortex blob method, in Vortex Flows and Related Numerical Methods II

  • ESAIM: Proceedings (1996),
  • 1996

Saffman,Vortex Dynamics

  • 1992