Browsing NTNU Open by Author "Ramalho Queiroz Pacheco, Douglas"
Now showing items 1-7 of 7
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Consistent pressure Poisson splitting methods for incompressible multi-phase flows: eliminating numerical boundary layers and inf-sup compatibility restrictions
Ramalho Queiroz Pacheco, Douglas; Schussnig, Richard (Peer reviewed; Journal article, 2022)For their simplicity and low computational cost, time-stepping schemes decoupling velocity and pressure are highly popular in incompressible flow simulations. When multiple fluids are present, the additional hyperbolic ... -
Consistent splitting schemes for incompressible viscoelastic flow problems
Ramalho Queiroz Pacheco, Douglas; Castillo, Ernesto (Peer reviewed; Journal article, 2023)Viscoelastic fluids are highly challenging from the rheological standpoint, and their discretization demands robust, efficient numerical solvers. Simulating viscoelastic flows requires combining the Navier–Stokes system ... -
Efficient split-step schemes for fluid–structure interaction involving incompressible generalised Newtonian flows
Schussnig, Richard; Ramalho Queiroz Pacheco, Douglas; Fries, Thomas-Peter (Peer reviewed; Journal article, 2022)Blood flow, dam or ship construction and numerous other problems in biomedical and general engineering involve incompressible flows interacting with elastic structures. Such interactions heavily influence the deformation ... -
On the initial higher-order pressure convergence in equal-order finite element discretizations of the Stokes system
Ramalho Queiroz Pacheco, Douglas; Steinbach, Olaf (Peer reviewed; Journal article, 2022)In incompressible flow problems, the finite element discretization of pressure and velocity can be done through either stable spaces or stabilized pairs. For equal-order stabilized methods with piecewise linear discretization, ... -
On the numerical treatment of viscous and convective effects in relative pressure reconstruction methods
Ramalho Queiroz Pacheco, Douglas (Peer reviewed; Journal article, 2022)The mechanism of many cardiovascular diseases can be understood by studying the pressure distribution in blood vessels. Direct pressure measurements, however, require invasive probing and provide only single-point data. ... -
Optimal Pressure Recovery Using an Ultra-Weak Finite Element Method for the Pressure Poisson Equation and a Least-Squares Approach for the Gradient Equation
Ramalho Queiroz Pacheco, Douglas; Steinbach, Olaf (Journal article; Peer reviewed, 2023)Reconstructing the pressure from given flow velocities is a task arising in various applications, and the standard approach uses the Navier–Stokes equations to derive a Poisson problem for the pressure p. That method, ... -
Semi-implicit fluid–structure interaction in biomedical applications
Schussnig, Richard; Ramalho Queiroz Pacheco, Douglas; Kaltenbacher, Manfred; Fries, Thomas-Peter (Peer reviewed; Journal article, 2022)Fluid–structure interaction (FSI) incorporates effects of fluid flows on deformable solids and vice versa. Complex biomedical problems in clinical applications continue to challenge numerical algorithms, as incorporating ...