A Control Volume-Based Finite-Element Method for Solving the Navier-Stokes Equations Using Equal-Order Velocity-Pressure Interpolation

Multigrid Calculation of Steady, Viscous Flow in a Triangular Cavity

“…We use a control volume procedure essentially the same as that described in Prakash and Patankar [14], except that we have preferred to retain the central differencing scheme. In Prakash and Patankar [14] and related works, an exponential variation was introduced for stability at high cell Peclet numbers. Although such a differencing scheme provides stability, it reduces the accuracy to first order and is not satisfactory.…”

SIERRA Low Mach Module: Fuego Theory Manual - Version 4.50

“…He solves flow between rotating cylinders up to a Reynolds number of 1000, the lid-driven cavity for Reynolds numbers up to 400, and natural convection in a square cavity for Grashof numbers up to 10 5 . The solutions are more accurate than with the original collocated scheme of Praskash and Patankar [172].…”

“…1985 Prakash and Patankar [172] solve the Navier-Stokes equations with an equal-order interpolation for velocity and pressure on triangular elements. The mass flow velocity, used for continuity, is different from that derived from momentum, thus avoiding staggering or mixed-interpolation.…”

The Effect of Undulated Wall on Natural Convection Heat Transfer in Vertical Channels

“…The equation representing the wall is considered to be mathematically expressible in a suitable sinusoidal, and the governing coupled Navier-Stokes and energy equations together with the continuity equation are solved by using CVFEM(Control Volume Finite Element) method. As it has been discussed in the previous works of Patankar [9], Baliga and Patankar [10], Prakash and Patankar [11], Schneider Raw [12], Masson et al [13] , Masson and Baliga [14], Saabas and Baliga [15], Costa and al. [16], Prakash [17] and Tran and al.…”