We use the continuity equation to derive a pressure equation to compute the gradient part of the vector field.
The implicit pressure-velocity coupling is accomplished by deriving a pressure equation in a procedure similar to a segregated SIMPLE algorithm using the Rhie Chow interpolation technique and assembling the coefficients of the momentum and continuity equations into one diagonally dominant matrix.
This study proposes a characteristic-based interface-sharpening algorithm for performing high-order simulations of such flows by deriving a pressure-equilibrium-consistent intermediate state (augmented with approximations of pressure derivatives) for local characteristic variable reconstruction and constructing a general framework for interface sharpening.
We excluded this study in a revised meta-analysis (which improved homogeneity), and derived a systolic blood pressure reducing effect of −3.0 mm Hg (95% confidence interval −4.31 to −2.38 mm Hg).
A very simple and efficient Picard iteration is used in order to derive a space time pressure correction algorithm that achieves also high order of accuracy in time and that avoids the direct solution of global nonlinear systems.
The Face Consistent Pressure (FCP) approach derives an auxiliary pressure value at the fluid porous interface using momentum balance around the interface.
The extended strain energy density idea is also used to derive a generalized pressure-dependent yielding criterion, which supplies a theoretical basis for those novel strength criteria for materials like bulk metallic glasses.
Therefore, in this study, we derived a new equation for global pressure and integrated it into the ASG method.
Indeed, the increase of bulk modulus to 500 GPa was derived from a pressure-volume relationship of nanodiamond [7].
By incorporating the effect of strain hardening on the static yield pressure, we derived an equation relating volumetric creep strain at a constant hydrostatic pressure level to the logarithm of time, which is in good agreement with experimental results.
