Caleb Logemann
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View article: Characterizing the effect of hypersonic boundary layer turbulence on antenna performance: A computational approach
Characterizing the effect of hypersonic boundary layer turbulence on antenna performance: A computational approach Open
The degradation of antenna performance during hypersonic re-entry is a well known phenomenon that can lead to complete radio blackout. Recent additions to the Empire code establish it as a tool for the study and analysis of the problem. Co…
View article: Parasitic Modulation of Microwave Signals by a Hypersonic Plasma Layer
Parasitic Modulation of Microwave Signals by a Hypersonic Plasma Layer Open
During hypersonic flight, compressional and viscous heating of the air can form a plasma layer which encases the aircraft. If the boundary layer becomes turbulent, then the electron density fluctuations can effect a parasitic modulation in…
View article: Coupling Kinetic PIC to Multi-Fluid Plasma Models using Compatible Discretizations
Coupling Kinetic PIC to Multi-Fluid Plasma Models using Compatible Discretizations Open
View article: Microwave pulse transmission through a hypersonic plasma layer
Microwave pulse transmission through a hypersonic plasma layer Open
View article: Gauss' Law Preserving Methods for the Multi-Fluid Plasma Model
Gauss' Law Preserving Methods for the Multi-Fluid Plasma Model Open
View article: Coupling Kinetic PIC to Multi-Fluid Plasma Models using Compatible Discretizations.
Coupling Kinetic PIC to Multi-Fluid Plasma Models using Compatible Discretizations. Open
View article: Nonconservative discontinuous Galerkin methods for shallow water moment models
Nonconservative discontinuous Galerkin methods for shallow water moment models Open
The shallow water equations are a thin-film approximation of the more complex three-dimensional incompressible Navier-Stokes system that are valid for wavelength phenomena that are large relative to the characteristic vertical length scale…
View article: An implicit-explicit discontinuous Galerkin scheme using a newton-free Picard iteration for a thin-film model
An implicit-explicit discontinuous Galerkin scheme using a newton-free Picard iteration for a thin-film model Open
This paper provides a high-order numerical scheme for solving thin-film models of the\nform q_t + (q^2 - q^3)_x = -(q^3 q_{xxx})_x.\nThe second term in this equation is of nonlinear hyperbolic type, while the right-hand\nside is of nonline…
View article: A Positivity-Preserving Limiting Strategy for Locally-Implicit Lax-Wendroff Discontinuous Galerkin Methods
A Positivity-Preserving Limiting Strategy for Locally-Implicit Lax-Wendroff Discontinuous Galerkin Methods Open
Nonlinear hyperbolic conservation laws admit singular solutions such as shockwaves (discontinuities in conserved variables), rarefaction waves (discontinuities in derivatives), and vacuum states (loss of strong hyperbolicity). When ostensi…