Computing Radially-Symmetric Solutions of the Ultra-Relativistic Euler Equations with Entropy-Stable Discontinuous Galerkin Methods
Fuente:
arXiv
Saved in:
| Main Authors: | Thein, Ferdinand, Ranocha, Hendrik |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Asymptotic-Preserving and Well-Balanced Linearly Implicit IMEX Schemes for the Anelastic Limit of the Isentropic Euler Equations with Gravity
by: Artiano, Marco, et al.
Published: (2026)
by: Artiano, Marco, et al.
Published: (2026)
Multiderivative time integration methods preserving nonlinear functionals via relaxation
by: Ranocha, Hendrik, et al.
Published: (2023)
by: Ranocha, Hendrik, et al.
Published: (2023)
On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperbolic Systems
by: Artiano, Marco, et al.
Published: (2026)
by: Artiano, Marco, et al.
Published: (2026)
Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations
by: Lampert, Joshua, et al.
Published: (2024)
by: Lampert, Joshua, et al.
Published: (2024)
High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization
by: Ranocha, Hendrik, et al.
Published: (2025)
by: Ranocha, Hendrik, et al.
Published: (2025)
Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators
by: Barsukow, Wasilij, et al.
Published: (2025)
by: Barsukow, Wasilij, et al.
Published: (2025)
Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions
by: Giesselmann, Jan, et al.
Published: (2025)
by: Giesselmann, Jan, et al.
Published: (2025)
Asymptotic Preserving Linearly Implicit Additive IMEX-RK Finite Volume Schemes for Low Mach Number Isentropic Euler Equations
by: Samantaray, Saurav
Published: (2024)
by: Samantaray, Saurav
Published: (2024)
Structure-Preserving High-Order Methods for the Compressible Euler Equations in Potential Temperature Formulation for Atmospheric Flows
by: Artiano, Marco, et al.
Published: (2025)
by: Artiano, Marco, et al.
Published: (2025)
Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties
by: Petri, Louis, et al.
Published: (2026)
by: Petri, Louis, et al.
Published: (2026)
On the Practical Impact of Local Linear Instabilities in Entropy-Stable Schemes
by: Bercik, Alex, et al.
Published: (2026)
by: Bercik, Alex, et al.
Published: (2026)
Energy Stable and Structure-Preserving Algorithms for the Stochastic Galerkin System of 2D Shallow Water Equations
by: Epshteyn, Yekaterina, et al.
Published: (2024)
by: Epshteyn, Yekaterina, et al.
Published: (2024)
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
by: Ranocha, Hendrik, et al.
Published: (2023)
by: Ranocha, Hendrik, et al.
Published: (2023)
Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration
by: Doehring, Daniel, et al.
Published: (2025)
by: Doehring, Daniel, et al.
Published: (2025)
Stable and asymptotic preserving space-time discretizations of a linear kinetic transport equation in diffusive scaling
by: Gjesteland, Anita, et al.
Published: (2026)
by: Gjesteland, Anita, et al.
Published: (2026)
Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation
by: Biswas, Abhijit, et al.
Published: (2024)
by: Biswas, Abhijit, et al.
Published: (2024)
A Structure-Preserving Scheme for the Euler System with Potential Temperature Transport
by: Arun, K. R., et al.
Published: (2025)
by: Arun, K. R., et al.
Published: (2025)
Volume Term Adaptivity for Discontinuous Galerkin Schemes
by: Doehring, Daniel, et al.
Published: (2026)
by: Doehring, Daniel, et al.
Published: (2026)
A collocation scheme that is equivalent to discontinuous Galerkin discretizations
by: Hicken, Jason
Published: (2026)
by: Hicken, Jason
Published: (2026)
Stability of step size control based on a posteriori error estimates
by: Ranocha, Hendrik, et al.
Published: (2023)
by: Ranocha, Hendrik, et al.
Published: (2023)
GPU-Accelerated Energy-Conserving Methods for the Two-Dimensional Hyperbolized Serre-Green-Naghdi Equations
by: Wittenstein, Collin, et al.
Published: (2026)
by: Wittenstein, Collin, et al.
Published: (2026)
Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations
by: Ranocha, Hendrik, et al.
Published: (2025)
by: Ranocha, Hendrik, et al.
Published: (2025)
Solving nonlinear Klein-Gordon equation with non-smooth solution by a geometric low-regularity integrator
by: Wang, Bin, et al.
Published: (2023)
by: Wang, Bin, et al.
Published: (2023)
A third-order trigonometric integrator with low regularity for the semilinear Klein-Gordon equation
by: Wang, Bin, et al.
Published: (2024)
by: Wang, Bin, et al.
Published: (2024)
Explicit symmetric low-regularity integrators for the semilinear Klein-Gordon equation
by: Shen, Zhirui, et al.
Published: (2026)
by: Shen, Zhirui, et al.
Published: (2026)
Maximum principle preserving time implicit DGSEM for nonlinear scalar conservation laws
by: Renac, Florent
Published: (2024)
by: Renac, Florent
Published: (2024)
Invariant domain preserving limiting of time explicit and time implicit discretizations for systems of conservation laws
by: Fanizza, Bartolomeo, et al.
Published: (2026)
by: Fanizza, Bartolomeo, et al.
Published: (2026)
Stationarity preservation and the low Mach number behaviour of the Discontinuous Galerkin method on Cartesian grids
by: Barsukow, Wasilij
Published: (2025)
by: Barsukow, Wasilij
Published: (2025)
Preconditioning of the generalized Stokes problem arising from the approximation of the time-dependent Navier-Stokes equations
by: Creff, Melvin, et al.
Published: (2024)
by: Creff, Melvin, et al.
Published: (2024)
Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods
by: Glaubitz, Jan, et al.
Published: (2024)
by: Glaubitz, Jan, et al.
Published: (2024)
Numerical approximations for a hyperbolic integrodifferential equation with a non-positive variable-sign kernel and nonlinear-nonlocal damping
by: Qiu, Wenlin, et al.
Published: (2024)
by: Qiu, Wenlin, et al.
Published: (2024)
An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes
by: Ersing, Patrick, et al.
Published: (2023)
by: Ersing, Patrick, et al.
Published: (2023)
Stable Spectral-Volume Methods
by: Schadt, Lena
Published: (2025)
by: Schadt, Lena
Published: (2025)
Analysis for Implicit and Implicit-Explicit ADER and DeC Methods for Ordinary Differential Equations, Advection-Diffusion and Advection-Dispersion Equations
by: Öffner, Philipp, et al.
Published: (2024)
by: Öffner, Philipp, et al.
Published: (2024)
A Positivity-Preserving Relaxation Algorithm
by: Izgin, Thomas, et al.
Published: (2026)
by: Izgin, Thomas, et al.
Published: (2026)
Stable Volume Dissipation for High-Order Finite-Difference and Spectral-Element Methods with the Summation-by-Parts Property
by: Bercik, Alex, et al.
Published: (2025)
by: Bercik, Alex, et al.
Published: (2025)
Runge-Kutta Discontinuous Galerkin Method Based on Flux Vector Splitting with Constrained Optimization-based TVB(D)-minmod Limiter for Solving Hyperbolic Conservation Laws
by: Xie, Zhengrong
Published: (2024)
by: Xie, Zhengrong
Published: (2024)
Numerical Analysis and Dimension Splitting for A Semi-Lagrangian Discontinuous Finite Element Scheme Based on the Characteristic Galerkin Method
by: Xie, Zhengrong
Published: (2025)
by: Xie, Zhengrong
Published: (2025)
Error Analysis of Time-Dependent Test Functions in the Semi-Lagrangian Discontinuous Finite Element Scheme Based on the Characteristic Galerkin Method
by: Xie, Zhengrong
Published: (2026)
by: Xie, Zhengrong
Published: (2026)
A Convergent Structure-Preserving Scheme for Dissipative Solutions of the Rotating Shallow Water System
by: Arun, K. R., et al.
Published: (2025)
by: Arun, K. R., et al.
Published: (2025)
Similar Items
-
Asymptotic-Preserving and Well-Balanced Linearly Implicit IMEX Schemes for the Anelastic Limit of the Isentropic Euler Equations with Gravity
by: Artiano, Marco, et al.
Published: (2026) -
Multiderivative time integration methods preserving nonlinear functionals via relaxation
by: Ranocha, Hendrik, et al.
Published: (2023) -
On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperbolic Systems
by: Artiano, Marco, et al.
Published: (2026) -
Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations
by: Lampert, Joshua, et al.
Published: (2024) -
High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization
by: Ranocha, Hendrik, et al.
Published: (2025)