Numerical analysis of geometrical nonlinear aeroelasticity with CFD/CSD method

Numerical Methods Used in Aeroelasticity Simulations

In this paper, we survey numerical methods used in aeroelasticity simulations. These methods are based on two-dimensional Euler equations. However, they are quite general. First, we consider uid dynamics numerical methods, which are also used to solve moving boundaries problems. Fixed computational domain methods (possibly with multiple moving frames of reference) are introduced. Arbitrary Lagr...

Numerical analysis of the nonlinear subgrid scale method

This paper presents the numerical analysis of the Nonlinear Subgrid Scale (NSGS) model for approximating singularly perturbed transport models. The NSGS is a free parameter subgrid stabilizing method that introduces an extra stability only onto the subgrid scales. This new feature comes from the local control yielded by decomposing the velocity field into the resolved and unresolved scales. Suc...

Numerical solution of nonlinear SPDEs using a multi-scale method

‎In this paper we establish a new numerical method for solving a class of stochastic partial differential equations (SPDEs) based on B-splines wavelets‎. ‎The method combines implicit collocation with the multi-scale method‎. Using the multi-scale method‎, ‎SPDEs can be solved on a given subdomain with more accuracy and lower computational cost than the rest of the domain‎. ‎The stability and c...

Cyclic Symmetry in Geometrical Nonlinear Analysis

Geometrical nonlinear analysis by plane quadrilateral element

Various corotational schemes for solid, shell, bending plate and beam elements have been proposed so far. Nevertheless, this approach has rarely been utilized for membrane problems. In this paper, a new quadrilateral element will be suggested for solving nonlinear membranes. The simplicity, rapid convergence and high accuracy of the formulation are the three main characteristics of the presente...