Advanced Numerical Methods in Computational Mathematics

Numerical calculations of the 2-D steady incompressible driven cavity flow are presented. The Navier–Stokes equations in streamfunction and vorticity formulation are solved numerically using a fine uniform grid mesh of 601 × 601. The steady driven cavity flow solutions are computed for Re ⩽ 21 000 with a maximum absol…

• ERCAN ERTÜRK

Numerical calculations of the 2-D steady incompressible driven cavity flow are presented. The Navier–Stokes equations in streamfunction and vorticity formulation are solved numerically using a fine uniform grid mesh of 601 × 601. The steady driven cavity flow solutions are computed for Re ⩽ 21 000 with a maximum absol…

• CİHAN GÖKÇÖL

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• ALİ KARAKUŞ

This paper presents a variational multiscale method (VMS) for the incompressible Navier--Stokes equations which is defined by a large scale space L H for the velocity deformation tensor and a turbulent viscosity $\nu_T$. The connection of this method to the standard formulation of a VMS is explained. The conditions on…

• SONGÜL KAYA MERDAN

Abstract The widely studied benchmark problem, two‐dimensional‐driven cavity flow problem is discussed in detail in terms of physical and mathematical and also numerical aspects. A very brief literature survey on studies on the driven cavity flow is given. On the basis of several numerical and experimental studies, th…

• ERCAN ERTÜRK

A new fourth-order compact formulation for the steady 2-D incompressible Navier–Stokes equations is presented. The formulation is in the same form of the Navier–Stokes equations such that any numerical method that solve the Navier–Stokes equations can easily be applied to this fourth-order compact formulation. In part…

• ERCAN ERTÜRK

A new fourth-order compact formulation for the steady 2-D incompressible Navier–Stokes equations is presented. The formulation is in the same form of the Navier–Stokes equations such that any numerical method that solve the Navier–Stokes equations can easily be applied to this fourth-order compact formulation. In part…

• CİHAN GÖKÇÖL

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Abstract We consider the problem of optimizing a non‐linear aeroelastic system in steady‐state conditions, where the structure is represented by a detailed finite element model, and the aerodynamic loads are predicted by the discretization of the non‐linear Euler equations. We present a solution method for this proble…

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• AHMET CİHAT BAYTAŞ

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• SONGÜL KAYA MERDAN