A fully implicit scheme for simulating ionized gas flows using the gas dynamics electrodynamics coupled system

Panourgias, Konstantinos; Ekaterinaris, John A.

doi:10.1002/fld.3956

Cited by 5 publications

(7 citation statements)

References 59 publications

(150 reference statements)

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“…They have also been extended for all element types and used for mixed‐type, three‐dimensional meshes for all elements shapes by using collapsed coordinate transformations . These three‐dimensional vector bases are hierarchical, however, are well behaved only for P 1 up to P 3 (they become almost singular for expansions P 4 or higher), and they cannot guarantee preservation of the divergence constraint for the electric field in the presence of charge. Therefore, to have a method that guarantees preservation of the constraints for both the magnetic and the electric field and it is suitable for arbitrary high‐order expansion bases, the PHM equations were used.…”

Section: Dg Discretizationmentioning

confidence: 99%

“…Therefore, the J F N K method is applied to this pseudo nonlinear system

scriptF

(it is a linear system, but it is handled as nonlinear) since the derivatives of the Jacobian can be used for the matrix‐vector product

\frac{\partial scriptF ((), c)}{\partial boldc} v_{n} \approx \frac{scriptF ((), boldc + ε v_{n}) - scriptF ((), c)}{ε}

required by G M R E S method. Furthermore, preconditioning is used to accelerate the GMRES convergence. Due to linearity of the Maxwell equations, it was found that even simple block Jacobi preconditioning is sufficient.…”

Section: Time‐marching Schemementioning

confidence: 99%

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A p‐adaptive method for electromagnetic wave propagation

Panourgias

Ekaterinaris²

2017

Numerical Meth Engineering

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Summary The discontinuous Galerkin FEM is used for the numerical solution of the three‐dimensional Maxwell equations. Control of errors in the numerical level for the divergence‐free constraint of the magnetic field can be obtained through the use of divergence‐free vector bases. In this work, the so‐called perfectly hyperbolic formulation of the Maxwell equations is used to retain both divergence‐free magnetic field and in the presence of charges to satisfy the Gauss constraint for the electric field at the numerical level. For both approaches, it is found that higher‐order approximations have favorable effect on the preservation of the divergence constraints and that the perfectly hyperbolic formulations retains these errors to a lower level. It is shown that high‐order accuracy in space and time is achieved in unstructured meshes using implicit time marching. For nonuniform meshes, local resolution refinement is used using p‐type adaptivity to ensure accurate electromagnetic wave propagation. Thus, the potential of the method to reach the required higher resolution in anisotropic meshes and obtain accurate electromagnetic wave propagation with reduced computational effort is demonstrated.

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Section: Dg Discretizationmentioning

confidence: 99%

“…Therefore, the J F N K method is applied to this pseudo nonlinear system

scriptF

(it is a linear system, but it is handled as nonlinear) since the derivatives of the Jacobian can be used for the matrix‐vector product

\frac{\partial scriptF ((), c)}{\partial boldc} v_{n} \approx \frac{scriptF ((), boldc + ε v_{n}) - scriptF ((), c)}{ε}

Section: Time‐marching Schemementioning

confidence: 99%

A p‐adaptive method for electromagnetic wave propagation

Panourgias

Ekaterinaris²

2017

Numerical Meth Engineering

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“…The DBD actuators are of immense interest for a variety of potential flow control applications from boundary layer control, drag reduction, boundary layer ingestion, wake control, and noise reduction. Several studies have also been carried out in the past to simulate EHD flow generated by DBD actuator with different models such as fluid, particle, and empirical models . Still the lack of models to accurately simulate the flow in high resolution and to analyze the effects of plasma actuators on boundary layer and wake control is evident.…”

Section: Introductionmentioning

confidence: 99%

“…Several studies have also been carried out in the past to simulate EHD flow generated by DBD actuator with different models such as fluid, particle, and empirical models. [4][5][6] Still the lack of models to accurately simulate the flow in high resolution and to analyze the effects of plasma actuators on boundary layer and wake control is evident. Some interesting studies have been carried out were previously both experimental and numerical 5,7-10 until recently.…”

mentioning

confidence: 99%

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A plasma‐fluid model for EHD flow in DBD actuators and experimental validation

Mushyam

Rodrigues

Páscoa

2019

Numerical Methods in Fluids

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Summary A numerical method to simulate plasma induced electrohydrodynamic flow is proposed in this study. The numerical model consists of three components. Firstly, a potential module to simulate temporal potential and electric field generated in the ionized fluid. Secondly, a plasma module to simulate plasma development and charge particle densities. Finally, a fluid module to simulate the flow affected by the body forces induced by the movement of the charged particles. Fluid flow is modeled using modified predictor‐corrector strategy as proposed in the marker and cell method. The velocity field was corrected to achieve incompressible flow by calculating pressure correction factors, considered in all cells. Numerical convergence and time sensitivity analysis were carried to confirm grid independence and determine an efficient time step for simulations. Numerical computations are validated by comparing with experimental results of discharge currents and current densities. They were found to be in very good agreement thus providing an extensive validation. Furthermore, quiescent flow over a dielectric barrier discharge actuator is simulated in the this study, using the proposed plasma‐fluid model, to model flow evolution and resolve temporal flow features for detailed analysis. The streamline and vorticity plots were analyzed and compared with experimental results, and flow results were found to be in‐line with the experiments.

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