<<O>> Difference Topic MHD1D (r1.4 - 16 May 2006 - ArthurVanDam)

META TOPICPARENT	Research

1D Magnetohydrodynamics

TOC: No TOC in "Arthur.MHD1D"

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Physical staircasing in an oscillating plasma sheet

A high density, high pressure sheet is placed in a vacuum between two conducting, reflective walls, with a slight pressure imbalance between the left and right vaccuum. Apart from the slow oscillation that sets in, fast magnetosonic waves in the vaccuum areas cause the formation of a physical staircase within the plasma sheet.

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More details: Van Dam and Zegeling, 2005 (Abstract + PDF^?).

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More details: Van Dam and Zegeling, 2006 (Abstract + PDF).

An illustrative movie (Quicktime): mhd15ops_staircasing.mov (212KB)

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(Click image for larger version)

More examples

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More examples can be found in 'Van Dam and Zegeling, 2005' (Abstract + PDF^?). These include shock tubes, Shear-Alfvén waves and pseudoconvergence from critical to regular solutions.

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More examples can be found in 'Van Dam and Zegeling, 2006' (Abstract + PDF). These include shock tubes, Shear-Alfvén waves and pseudoconvergence from critical to regular solutions.

<<O>> Difference Topic MHD1D (r1.3 - 27 Jul 2005 - ArthurVanDam)

META TOPICPARENT	Research

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1D Magnetohydrodynamics

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1D Magnetohydrodynamics

TOC: No TOC in "Arthur.MHD1D"

The nonlinear system of hyperbolic PDEs that describes the conservation laws for magnetohydrodynamics (MHD) is a `rich' example model to test my moving mesh method on. Below are some example results from 1, 1.5 and 1.75D MHD simulations.

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What is 1.5 or 1.7D?

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What is 1.5 or 1.75D?

For 1.5D: We take the general 2D PDE formulation, write out all gradients, and set all y partial derivatives to zero.
For 1.75D: We take the general 3D PDE formulation, write out all gradients, and set all y and z partial derivatives to zero.

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An illustrative movie (Quicktime): mhd15ops_staircasing.mov (212KB)

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Mesh history plots:

Overview (t<=2.0)

(Click image for larger version)

Detail of early stage (t<0.12)

(Click image for larger version)

More examples

More examples can be found in 'Van Dam and Zegeling, 2005' (Abstract + PDF^?). These include shock tubes, Shear-Alfvén waves and pseudoconvergence from critical to regular solutions.

<<O>> Difference Topic MHD1D (r1.2 - 27 Jul 2005 - ArthurVanDam)

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META TOPICPARENT	Research

1D Magnetohydrodynamics

The nonlinear system of hyperbolic PDEs that describes the conservation laws for magnetohydrodynamics (MHD) is a `rich' example model to test my moving mesh method on. Below are some example results from 1, 1.5 and 1.75D MHD simulations.

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Physical staircasing in an oscillating plasma sheet

A high density, high pressure sheet is placed in a vacuum between two conducting, reflective walls, with a slight pressure imbalance between the left and right vaccuum. Apart from the slow oscillation that sets in, fast magnetosonic waves in the vaccuum areas cause the formation of a physical staircase within the plasma sheet.

Changed:

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<

More details:

>
>

More details: Van Dam and Zegeling, 2005 (Abstract + PDF^?).

Changed:

<
<

An illustrative movie (Quicktime): mhd15ops_staircasing.mov (212KB) -- ArthurVanDam - 27 Jul 2005

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An illustrative movie (Quicktime): mhd15ops_staircasing.mov (212KB)

<<O>> Difference Topic MHD1D (r1.1 - 27 Jul 2005 - ArthurVanDam)

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> >	1D Magnetohydrodynamics The nonlinear system of hyperbolic PDEs that describes the conservation laws for magnetohydrodynamics (MHD) is a `rich' example model to test my moving mesh method on. Below are some example results from 1, 1.5 and 1.75D MHD simulations. What is 1.5 or 1.7D? For 1.5D: We take the general 2D PDE formulation, write out all gradients, and set all y partial derivatives to zero. For 1.75D: We take the general 3D PDE formulation, write out all gradients, and set all y and z partial derivatives to zero. In other words: we consider the 2- or 3D system to be in an equilibrium state in the y and z directions; the solution dynamics depend only on x and t. Physical staircasing in an oscillating plasma sheet A high density, high pressure sheet is placed in a vacuum between two conducting, reflective walls, with a slight pressure imbalance between the left and right vaccuum. Apart from the slow oscillation that sets in, fast magnetosonic waves in the vaccuum areas cause the formation of a physical staircase within the plasma sheet. More details: An illustrative movie (Quicktime): mhd15ops_staircasing.mov (212KB) -- ArthurVanDam - 27 Jul 2005

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1D Magnetohydrodynamics

The nonlinear system of hyperbolic PDEs that describes the conservation laws for magnetohydrodynamics (MHD) is a `rich' example model to test my moving mesh method on. Below are some example results from 1, 1.5 and 1.75D MHD simulations.

What is 1.5 or 1.7D?

For 1.5D: We take the general 2D PDE formulation, write out all gradients, and set all y partial derivatives to zero.
For 1.75D: We take the general 3D PDE formulation, write out all gradients, and set all y and z partial derivatives to zero.

In other words: we consider the 2- or 3D system to be in an equilibrium state in the y and z directions; the solution dynamics depend only on x and t.

Physical staircasing in an oscillating plasma sheet

A high density, high pressure sheet is placed in a vacuum between two conducting, reflective walls, with a slight pressure imbalance between the left and right vaccuum. Apart from the slow oscillation that sets in, fast magnetosonic waves in the vaccuum areas cause the formation of a physical staircase within the plasma sheet.

More details:

An illustrative movie (Quicktime): mhd15ops_staircasing.mov (212KB) -- ArthurVanDam - 27 Jul 2005