 equation 
The integralequation methods first proposed for solving filtration problems by Barenblatt [1] were subsequently used to good effect when studying cracked and porous media [2, 3].


However, the realization of the integralequation method in the latter two cases [2, 3] contradicted the idea of interpenetrating continua which was used as a basis for the model of filtration in cracked and porous media [4].


A universal oneequation model for turbulent viscosity


The calculations are performed in the local conical approximation using the system of Reynolds equations and the differential oneequation turbulence model.


The flow past a circular cylinder with an isothermal surface at Mach numbers M∞=2 and 5 and Reynolds numbers ranging from 104 to 108 is investigated on the basis of the Reynolds equations using a differential twoequation turbulence model.


We present a new version of the twoequation turbulence model, which makes it possible to calculate continuously the entire flow range from laminar to turbulent, including transition, in the case of a timeperiodic, highturbulencelevel freestream.


The propagation of an instability wave over an active segment of finite length is calculated using an integralequation method based on solving the problem of boundary layer flow receptivity to surface vibration.


The problem of how the parameters of the underwater sound channel affect the sound field calculated in the ray and parabolicequation approximations is studied.


The experimental data qualitatively agree with the numerical calculations performed in the kineticequation approximation including the viscous damping of waves.


The master integrals are evaluated as a series in ratio m/M and in ε with the help of a differentialequation method.


A theory is devised on the basis of a numerical solution of the electromagnetic field equations in an integralequation formulation.


Numerical solution of the nonstationary Stokes system by methods of adjointequation theory and optimal control theory


Methods in optimal control and the adjointequation theory are applied to the design of iterative algorithms for the numerical solution of the nonstationary Stokes system perturbed by a skewsymmetric operator.


The problem of electromagneticwave diffraction from a group of bodies solved via the patternequation method


The modified twoequation model and the EDC turbulent combustion model are used for the gas phase.


A DSM closure is applied in the former, and a oneequation model is solved in the latter.


Algebraic stress model with RNG εequation for simulating confined strongly swirling turbulent flows


An explicit HartenYee NonMUSCL Modifiedfluxtype TVD scheme has been used to solve the system of equations, and a zeroequation algebraic turbulence model to calculate the eddy viscosity coefficient.


The presented analysis is based on numerical simulations by means of NS compressible solver with a twoequation turbulence model.


An explicit HartenYee NonMUSCL Modifiedfluxtype TVD scheme has been used to solve the system of equations, and a zeroequation algebraic turbulence model to calculate the eddy viscosity coefficient.

