An augmented streamline upwind/Petrov-Galerkin method for the time-spectral convection-diffusion equation

M Esmaily, D Jia - Journal of Computational Physics, 2025 - Elsevier
Discretizing a solution in the spectral rather than time domain presents a significant
advantage in solving transport problems encountered in fields like cardiorespiratory …

A time-consistent stabilized finite element method for fluids with applications to hemodynamics

D Jia, M Esmaily - Scientific Reports, 2023 - nature.com
Several finite element methods for simulating incompressible flows rely on the streamline
upwind Petrov–Galerkin stabilization (SUPG) term, which is weighted by τ SUPG. The …

A new stabilized time-spectral finite element solver for fast simulation of blood flow

M Esmaily, D Jia - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
The increasing application of cardiorespiratory simulations for diagnosis and surgical
planning necessitates the development of computational methods significantly faster than …

Characterization of the ejector pump performance for the assisted bidirectional Glenn procedure

D Jia, M Esmaily - Fluids, 2022 - mdpi.com
This study introduces an algebraic model informed by computational fluid dynamics (CFD)
simulations to investigate the performance of the assisted bidirectional Glenn (ABG) …

Multi-scale simulation of red blood cell trauma in large-scale high-shear flows after Norwood operation

S Mansour, E Logan, JF Antaki, M Esmaily - arXiv preprint arXiv …, 2024 - arxiv.org
Cardiovascular surgeries and mechanical circulatory support devices create non-
physiological blood flow conditions that can be detrimental, especially for pediatric patients …

Introducing a Harmonic Balance Navier-Stokes Finite Element Solver to Accelerate Cardiovascular Simulations

D Jia, M Esmaily - arXiv preprint arXiv:2411.14315, 2024 - arxiv.org
The adoption of cardiovascular simulations for diagnosis and surgical planning on a patient-
specific basis requires the development of faster methods than the existing state-of-the-art …

A consistent formulation for the stabilization terms in solving the Navier-Stokes equation using the finite element method

D Jia, M Esmaily - arXiv preprint arXiv:2211.06505, 2022 - arxiv.org
Several finite element methods for fluid rely on the streamline upwind Petrov-Galerkin
stabilization (SUPG) term, which is weighted by $\tau_ {\mathrm {SUPG}} $. The …