Optimized Runge-Kutta methods with automatic step size control for compressible computational fluid dynamics
We develop error-control based time integration algorithms for compressible fluid dynamics
(CFD) applications and show that they are efficient and robust in both the accuracy-limited …
(CFD) applications and show that they are efficient and robust in both the accuracy-limited …
High-order accurate entropy-stable discontinuous collocated Galerkin methods with the summation-by-parts property for compressible CFD frameworks: Scalable …
This work reports on the performances of a fully-discrete hp-adaptive entropy stable
discontinuous collocated Galerkin method for the compressible Naiver–Stokes equations …
discontinuous collocated Galerkin method for the compressible Naiver–Stokes equations …
On the robustness and performance of entropy stable collocated discontinuous Galerkin methods
In computational fluid dynamics, the demand for increasingly multidisciplinary reliable
simulations, for both analysis and design optimization purposes, requires transformational …
simulations, for both analysis and design optimization purposes, requires transformational …
Fully discrete explicit locally entropy-stable schemes for the compressible Euler and Navier–Stokes equations
Recently, relaxation methods have been developed to guarantee the preservation of a
single global functional of the solution of an ordinary differential equation. Here, we …
single global functional of the solution of an ordinary differential equation. Here, we …
Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations
Entropy stable schemes ensure that physically meaningful numerical solutions also satisfy a
semi-discrete entropy inequality under appropriate boundary conditions. In this work, we …
semi-discrete entropy inequality under appropriate boundary conditions. In this work, we …
Provably stable flux reconstruction high-order methods on curvilinear elements
Provably stable flux reconstruction (FR) schemes are derived for partial differential
equations cast in curvilinear coordinates. Specifically, energy stable flux reconstruction …
equations cast in curvilinear coordinates. Specifically, energy stable flux reconstruction …
[HTML][HTML] Evaluation of next-generation high-order compressible fluid dynamic solver on cloud computing for complex industrial flows
Industrially relevant computational fluid dynamics simulations frequently require vast
computational resources that are only available to governments, wealthy corporations, and …
computational resources that are only available to governments, wealthy corporations, and …
[HTML][HTML] An entropy–stable p–adaptive nodal discontinuous Galerkin for the coupled Navier–Stokes/Cahn–Hilliard system
We develop a novel entropy–stable discontinuous Galerkin approximation of the
incompressible Navier–Stokes/Cahn–Hilliard system for p–non–conforming elements. This …
incompressible Navier–Stokes/Cahn–Hilliard system for p–non–conforming elements. This …
[HTML][HTML] A multi-domain summation-by-parts formulation for complex geometries
T Lundquist, F Laurén, J Nordström - Journal of Computational Physics, 2022 - Elsevier
We combine existing summation-by-parts discretization methods to obtain a simplified
numerical framework for partial differential equations posed on complex multi-block/element …
numerical framework for partial differential equations posed on complex multi-block/element …
Optimized geometrical metrics satisfying free-stream preservation
Computational fluid dynamics and aerodynamics, which complement more expensive
empirical approaches, are critical for developing aerospace vehicles. During the past three …
empirical approaches, are critical for developing aerospace vehicles. During the past three …