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View article: Fully-Discrete Provably Lyapunov Consistent Discretizations for Convection-Diffusion-Reaction PDE Systems
Fully-Discrete Provably Lyapunov Consistent Discretizations for Convection-Diffusion-Reaction PDE Systems Open
Convection-diffusion-reaction equations are a class of second-order partial differential equations (PDEs) widely used to model phenomena involving the change of concentration/population of one or more substances/species distributed in spac…
View article: Entropy conservative and entropy stable solid wall boundary conditions for the resistive magnetohydrodynamic equations
Entropy conservative and entropy stable solid wall boundary conditions for the resistive magnetohydrodynamic equations Open
We present a novel technique for imposing non-linear entropy conservative and entropy stable wall boundary conditions for the resistive magnetohydrodynamic equations in the presence of an adiabatic wall or a wall with a prescribed heat ent…
View article: Fully-discrete provably Lyapunov consistent discretizations for convection-diffusion-reaction PDE systems
Fully-discrete provably Lyapunov consistent discretizations for convection-diffusion-reaction PDE systems Open
Convection-diffusion-reaction equations are a class of second-order partial differential equations widely used to model phenomena involving the change of concentration/population of one or more substances/species distributed in space. Unde…
View article: PETSc/TAO Users Manual Revision 3.22
PETSc/TAO Users Manual Revision 3.22 Open
This manual describes the use of the Portable, Extensible Toolkit for Scientific Computation (PETSc) and the Toolkit for Advanced Optimization (TAO) for the numerical solution of partial differential equations (PDEs) and related problems o…
View article: PETSc/TAO Users Manual V.3.21
PETSc/TAO Users Manual V.3.21 Open
This manual describes the use of the Portable, Extensible Toolkit for Scientific Computation (PETSc) and the Toolkit for Advanced Optimization (TAO) for the numerical solution of partial differential equations (PDEs) and related problems o…
View article: Computational simulation of a compressible flow around the NASA CRM using PETSc4FOAM
Computational simulation of a compressible flow around the NASA CRM using PETSc4FOAM Open
Efficient simulation of industrial problems requires high-performance computing and appropriate linear solvers. The aim of this work is to present a performance analysis of the OpenFOAM [1] built-inlinear algebra solvers and the linear sol…
View article: PETSc/TAO Users Manual (Rev. 3.20)
PETSc/TAO Users Manual (Rev. 3.20) Open
This manual describes the use of the Portable, Extensible Toolkit for Scientific Computation (PETSc) and the Toolkit for Advanced Optimization (TAO) for the numerical solution of partial differential equations and related problems on high-…
View article: shmem4py: High-Performance One-Sided Communication for Python Applications
shmem4py: High-Performance One-Sided Communication for Python Applications Open
This paper describes shmem4py, a Python wrapper for the OpenSHMEM application programming interface (API) which follows a design similar to that of the well-known mpi4py package. OpenSHMEM is a descendant of the one-sided communication lib…
View article: Unlocking massively parallel spectral proper orthogonal decompositions in the PySPOD package
Unlocking massively parallel spectral proper orthogonal decompositions in the PySPOD package Open
We propose a parallel (distributed) version of the spectral proper orthogonal decomposition (SPOD) technique. The parallel SPOD algorithm distributes the spatial dimension of the dataset preserving time. This approach is adopted to preserv…
View article: MPI Application Binary Interface Standardization
MPI Application Binary Interface Standardization Open
MPI is the most widely used interface for high-performance computing (HPC)\nworkloads. Its success lies in its embrace of libraries and ability to evolve\nwhile maintaining backward compatibility for older codes, enabling them to run\non n…
View article: shmem4py: OpenSHMEM for Python
shmem4py: OpenSHMEM for Python Open
shmem4py brings the Partitioned Global Address Space (PGAS) programming model to Python by exposing the functionality of the OpenSHMEM Application Programming Interface (API) specification. The feature set includes one-sided communication,…
View article: Improvements to SLEPc in Releases 3.14–3.18
Improvements to SLEPc in Releases 3.14–3.18 Open
This short article describes the main new features added to SLEPc, the Scalable Library for Eigenvalue Problem Computations, in the past two and a half years, corresponding to five release versions. The main novelty is the extension of the…
View article: On Error-Based Step Size Control for Discontinuous Galerkin Methods for Compressible Fluid Dynamics
On Error-Based Step Size Control for Discontinuous Galerkin Methods for Compressible Fluid Dynamics Open
We study a temporal step size control of explicit Runge-Kutta (RK) methods for compressible computational fluid dynamics (CFD), including the Navier-Stokes equations and hyperbolic systems of conservation laws such as the Euler equations. …
View article: PETSc/TAO Users Manual (Rev. 3.19)
PETSc/TAO Users Manual (Rev. 3.19) Open
This manual describes the use of the Portable, Extensible Toolkit for Scientific Computation (PETSc) and the Toolkit for Advanced Optimization (TAO) for the numerical solution of partial differential equations and related problems on high-…
View article: PETSc/TAO Users Manual: Revision 3.18
PETSc/TAO Users Manual: Revision 3.18 Open
This manual describes the use of the Portable, Extensible Toolkit for Scientific Computation (PETSc) and the Toolkit for Advanced Optimization (TAO) for the numerical solution of partial differential equations and related problems on high-…
View article: On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics
On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics Open
We study temporal step size control of explicit Runge-Kutta methods for compressible computational fluid dynamics (CFD), including the Navier-Stokes equations and hyperbolic systems of conservation laws such as the Euler equations. We demo…
View article: Eigenanalysis and non-modal analysis of collocated discontinuous Galerkin discretizations with the summation-by-parts property
Eigenanalysis and non-modal analysis of collocated discontinuous Galerkin discretizations with the summation-by-parts property Open
Guided by the von Neumann and non-modal analyses, we investigate the dispersion and diffusion properties of collocated discontinuous Galerkin methods with the summation-by-parts property coupled with the simultaneous approximation techniqu…
View article: On the performance of relaxation and adaptive explicit Runge–Kutta schemes for high-order compressible flow simulations
On the performance of relaxation and adaptive explicit Runge–Kutta schemes for high-order compressible flow simulations Open
The work described in this paper was supported by King Abdullah University of Science and Technology through the award OSR-2019-CCF-3666. We are thankful to the Supercomputing Laboratory and the Extreme Computing Research Center at King Ab…
View article: Development and analysis of entropy stable no-slip wall boundary conditions for the Eulerian model for viscous and heat conducting compressible flows
Development and analysis of entropy stable no-slip wall boundary conditions for the Eulerian model for viscous and heat conducting compressible flows Open
The database used in the submission of "Development and analysis of entropy stable no-slip wall boundary conditions implementation of the Eulerian model for viscous and heat conducting compressible flows." Abstract: Nonlinear entropy stabi…
View article: Development and analysis of entropy stable no-slip wall boundary conditions for the Eulerian model for viscous and heat conducting compressible flows
Development and analysis of entropy stable no-slip wall boundary conditions for the Eulerian model for viscous and heat conducting compressible flows Open
The database used in the submission of "Development and analysis of entropy stable no-slip wall boundary conditions implementation of the Eulerian model for viscous and heat conducting compressible flows." Abstract: Nonlinear entropy stabi…
View article: Development and analysis of entropy stable no-slip wall boundary conditions implementation of the Eulerian model for viscous and heat conducting compressible flows
Development and analysis of entropy stable no-slip wall boundary conditions implementation of the Eulerian model for viscous and heat conducting compressible flows Open
The database used in the submission of "Development and analysis of entropy stable no-slip wall boundary conditions implementation of the Eulerian model for viscous and heat conducting compressible flows."
View article: mpi4py: Status Update After 12 Years of Development
mpi4py: Status Update After 12 Years of Development Open
MPI for Python (mpi4py) has evolved to become the most used Python binding for the Message Passing Interface (MPI). We report on various improvements and features that mpi4py gradually accumulated over the past decade, including support up…
View article: Optimized Runge-Kutta Methods with Automatic Step Size Control for\n Compressible Computational Fluid Dynamics
Optimized Runge-Kutta Methods with Automatic Step Size Control for\n Compressible Computational Fluid Dynamics Open
We develop error-control based time integration algorithms for compressible\nfluid dynamics (CFD) applications and show that they are efficient and robust\nin both the accuracy-limited and stability-limited regime. Focusing on\ndiscontinuo…
View article: Coefficients of Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics
Coefficients of Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics Open
Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics