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Autores principales: Luo, Hongyang, Zhang, Binzheng, Tian, Jiaxing, Cai, Jinshu, Chen, Junjie, Feng, Enhao, Zheng, Zhiqi, Xi, Sheng, Lyon, John G.
Formato: Preprint
Publicado: 2026
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Acceso en línea:https://arxiv.org/abs/2602.12307
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author Luo, Hongyang
Zhang, Binzheng
Tian, Jiaxing
Cai, Jinshu
Chen, Junjie
Feng, Enhao
Zheng, Zhiqi
Xi, Sheng
Lyon, John G.
author_facet Luo, Hongyang
Zhang, Binzheng
Tian, Jiaxing
Cai, Jinshu
Chen, Junjie
Feng, Enhao
Zheng, Zhiqi
Xi, Sheng
Lyon, John G.
contents We present GAMERA-OP (Orthogonal-Plus), a three-dimensional finite-volume magnetohydrodynamics (MHD) solver for orthogonal curvilinear geometries. The solver advances magnetic fields using constrained transport to preserve $\nabla\!\cdot\!\mathbf{B}=0$ to machine precision and employs geometry-consistent high-order reconstruction with an enhanced Partial Donor Cell method (e-PDM) that accounts for geometry curvature. Flexible numerics include various numerical fluxes and time integrators. In axial symmetric coordinates, angular momentum are preserved to round-off, and a ring-averaging treatment near the axis relaxes CFL constraints while maintaining divergence-free magnetic fields. Optional capabilities include the semi-relativistic (Boris) correction, background-field splitting, and an anisotropic MHD formulation. Rewritten in C, the code adopts a modular design that simplifies case setup and facilitates the addition of physics modules and coupling to other first-principles codes. Standard benchmarks across multiple geometries verify the code's high accuracy, low numerical diffusion, and robust handling of coordinate singularities and rotating flows. GAMERA-OP provides a practical, high-order framework for space and astrophysical plasma applications where orthogonal curvilinear coordinates and exact angular-momentum conservation are advantageous.
format Preprint
id arxiv_https___arxiv_org_abs_2602_12307
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle GAMERA-OP: A three-dimensional finite-volume MHD solver for orthogonal curvilinear geometries
Luo, Hongyang
Zhang, Binzheng
Tian, Jiaxing
Cai, Jinshu
Chen, Junjie
Feng, Enhao
Zheng, Zhiqi
Xi, Sheng
Lyon, John G.
Instrumentation and Methods for Astrophysics
Earth and Planetary Astrophysics
We present GAMERA-OP (Orthogonal-Plus), a three-dimensional finite-volume magnetohydrodynamics (MHD) solver for orthogonal curvilinear geometries. The solver advances magnetic fields using constrained transport to preserve $\nabla\!\cdot\!\mathbf{B}=0$ to machine precision and employs geometry-consistent high-order reconstruction with an enhanced Partial Donor Cell method (e-PDM) that accounts for geometry curvature. Flexible numerics include various numerical fluxes and time integrators. In axial symmetric coordinates, angular momentum are preserved to round-off, and a ring-averaging treatment near the axis relaxes CFL constraints while maintaining divergence-free magnetic fields. Optional capabilities include the semi-relativistic (Boris) correction, background-field splitting, and an anisotropic MHD formulation. Rewritten in C, the code adopts a modular design that simplifies case setup and facilitates the addition of physics modules and coupling to other first-principles codes. Standard benchmarks across multiple geometries verify the code's high accuracy, low numerical diffusion, and robust handling of coordinate singularities and rotating flows. GAMERA-OP provides a practical, high-order framework for space and astrophysical plasma applications where orthogonal curvilinear coordinates and exact angular-momentum conservation are advantageous.
title GAMERA-OP: A three-dimensional finite-volume MHD solver for orthogonal curvilinear geometries
topic Instrumentation and Methods for Astrophysics
Earth and Planetary Astrophysics
url https://arxiv.org/abs/2602.12307