# Gallery

This page collects screenshots from various simulations based on MFEM. Additional images can be found in the GLVis gallery.

*A version of the MFEM logo demonstrating curvilinear elements, adaptive mesh refinement and (idealized) parallel partitioning. Visualization with GLVis.*

*Incompressible Taylor-Green vortex simulation with high-order finite elements. Visualization with ParaView.*

*Fibers generated by LDRB approach based on 4 Laplacian solves in the Cardioid project.*

*Solution of a Maxwell problem on a Klein bottle. Mesh generated with the klein-bottle miniapp. Solution with Example 3.*

*Comparisons of equipotential surfaces and force lines from Maxwell's Treatise on Electricity and Magnetism with results from MFEM's Volta miniapp.*

*Level surfaces in the interior of the solution from Example 1 on escher.mesh. Visualization with GLVis.*

*3D Arbitrary Lagrangian-Eulerian (ALE) simulation of a shock-triple point interaction with Q2-Q1 elements in the MFEM-based BLAST shock hydrodynamics code. Volume visualization with VisIt.*

*Modeling elastic-plastic flow in the 3D Taylor high-velocity impact problem using 4th order mixed elements in the MFEM-based BLAST shock hydrodynamics code. Visualization with VisIt.*

*Poisson problem on a "Breather" surface. Mesh generated with the Mesh Explorer miniapp. Solution with Example 1.*

*Triple point shock interaction on 4 elements of order 12. Note the element curvature and the high variation of the field inside the lower right element.*

*Visualization of the electric field generated by the electrical wave on rabbit heart ventricles during depolarization of the heart. The ventricles are embedded in a passive conducting volume. Activation of the ventricles happens through a Purkinje network. Image courtesy of Dennis Ogiermann, winner of the 2021 MFEM Workshop Visualization Contest.*

*Incompressible fluid flow around a rotating turbine. Fluid-rigid body simulation using space-time embedded-hybridized discontinuous Galerkin discretization. Image courtesy of Tamas Horvath, winner of the 2021 MFEM Workshop Visualization Contest.*

*Axisymmetric computation of an air flow in a tube with continuous Galerkin discretization. Image courtesy of Raphael Zanella, as part of the 2021 MFEM Workshop Visualization Contest.*

*Streamlines of the magnetic field from a parallel computation of the magnetostatic interaction of two magnetic orbs. Visualization with VTK.*

*Test of the propagation of a spherical shock wave through a random non-conforming mesh in the MFEM-based BLAST shock hydrodynamics code. Visualization with GLVis.*

*Slice image of the high harmonic fast wave propagation in the NSTX-U magnetic fusion device. Computed using MFEM's 4th order H(curl) elements by the RF-SciDAC project.*

*An electromagnetic eigenmode of a star-shaped domain computed with 3rd order finite elements computed with Example 13.*

*High-order multi-material inertial confinement fusion (ICF)-like implosion in the MFEM-based BLAST shock hydrodynamics code. Visualization with VisIt.*

*Two-region AMR mesh generated by the Shaper miniapp from successive adaptation to the outlines of Australia.*

*Radiating Kelvin-Helmholtz modeled with the MFEM-based BLAST shock hydrodynamics code. Volume visualization with VisIt.*

*Simulation-driven r-adaptivity using TMOP for a three-material high-velocity gas impact in BLAST. Visualization with VisIt. Click here for a movie.*

*The Shaper miniapp applied to a multi-material input functions described by the iterates of the Mandelbrot set. Visualization with GLVis.*

*Topology optimization of a drone body using LLNL's LiDO project, based on MFEM.*

*Compressible Euler equations, Mach 3 flow around a cylinder in 2D, stabilized DG-P1 spacial discretization. Image courtesy of Hennes Hajduk, as part of the 2021 MFEM Workshop Visualization Contest.*

*Inviscid Kelvin-Helmholtz instability using high-order invariant domain preserving discontinuous Galerkin methods with convex limiting. Image courtesy of Will Pazner, as part of the 2021 MFEM Workshop Visualization Contest.*

*Compressible Euler in Lagrangian frame using the Laghos miniapp. Image courtesy of Vladimir Tomov, as part of the 2021 MFEM Workshop Visualization Contest.*

*Adaptive, implicit resistive MHD solver (from TDS-SciDAC) resolves multi-scale features of plasmoid instability.*

*Electric field induced by an MRI gradient coil in a human body. Simulation by the Magnetic Resonance Physics and Instrumentation Group at Harvard Medical School.*

*Multi-mode Rayleigh-Taylor instability simulation using 4th order mixed elements in the MFEM-based BLAST shock hydrodynamics code. Visualization with VisIt.*

*Purely Lagrangian Rayleigh-Taylor instability simulation using 8th order mixed elements in the MFEM-based BLAST shock hydrodynamics code. Visualization with GLVis.*

*Anisotropic refinement in a 2D shock-like AMR test problem. Visualization with GLVis.*

*Parallel version of Example 1 on 100 processors with a relatively coarse version of square-disc.mesh. Visualization with GLVis.*

*Anisotropic refinement in a 3D version of the AMR test. Portion of the spherical domain is cut away in GLVis.*

*Structural topology optimization with MFEM in LLNL's Center for Design and Optimization.*

*Test of the anisotropic refinement feature on a random mesh. A slightly modified version of Example 1. Visualization with GLVis.*

*Level lines in a cutting plane of the solution from the parallel version of Example 1 on 64 processors with fichera.mesh. Visualization with GLVis.*

*Cut image of the solution from Example 1 on a sharply twisted, high order toroidal mesh. The mesh was generated with the toroid miniapp.*

*Cut image of an induction coil mesh and three sub-meshes created with the Trimmer miniapp. Visualization with VisIt.*

*Viscoealstic flow of blood through an artery with aneurysm. Modeled by the Hookean dumbbell model discretized with BCF-method (Navier-Stokes+SUPG). Image courtesy of Andreas Meier, as part of the 2021 MFEM Workshop Visualization Contest.*

*Visualization of time-averaged mean flow from a compressible, DG Navier-Stokes solver using MFEM. The geometry matches the internal flow domain of a cylindrical plasma torch where gas is injected into four small diamond ports. Image courtesy of Karl W. Schulz, as part of the 2021 MFEM Workshop Visualization Contest.*