Additional Transport Calculations - Revision history

Nairnj: /* Electrical Conduction using Transport Analysis */

2023-11-18T18:06:51Z

Electrical Conduction using Transport Analysis

← Older revision		Revision as of 18:06, 18 November 2023
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	== Electrical Conduction using Transport Analysis ==		== Electrical Conduction using Transport Analysis ==

	This option, which is currently only available in a custom branch of [[OSParticulas]] ~~solve the~~ Poisson's equation (which a potential source term) dynamically as a transport problem by casting it as:		This option, which is currently only available in a custom branch of [[OSParticulas]] approximates solution to Poisson's equation (which a potential source term) dynamically as a transport problem by casting it as:

Nairnj at 18:06, 18 November 2023

2023-11-18T18:06:05Z

← Older revision		Revision as of 18:06, 18 November 2023
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	* <tt>solvent</tt> (or 1) - solvent diffusion but should set using [[Diffusion Calculations\|<tt>Diffusion</tt> command]] with extra parameters.		* <tt>solvent</tt> (or 1) - solvent diffusion but should set using [[Diffusion Calculations\|<tt>Diffusion</tt> command]] with extra parameters.
	* <tt>poroelasticity</tt> (or 2) - poroelasticity diffusion but should set using [[Poroelasticity Calculations\|<tt>Poroelasticity</tt> command]] with extra parameters.		* <tt>poroelasticity</tt> (or 2) - poroelasticity diffusion but should set using [[Poroelasticity Calculations\|<tt>Poroelasticity</tt> command]] with extra parameters.
	* <tt>fracture</tt> (3) - fracture phase field diffusion		* <tt>fracture</tt> (3) - fracture phase field diffusion (couples to [[Isotropic Phase Field Softening Material\|IsoPhaseFieldSoftening material]])
	* <tt>battery</tt> (or 4) - battery phase field calculations (~~special code~~ only)		* <tt>battery</tt> (or 4) - battery phase field calculations (an [[OSParticulas]] branch only)
	* <tt>conduction</tt> (or 5) - battery conduction equation solved by diffusion (~~special code~~ only)		* <tt>conduction</tt> (or 5) - battery conduction equation solved by diffusion (an [[OSParticulas]] branch only)

	Note that the <tt>solvent</tt> style (which for backward compatibility can be "Yes" or "No") is for solvent diffusion. For details on this option refer to [[Diffusion Calculations]] and two additional parameters in the command.		Note that the <tt>solvent</tt> style (which for backward compatibility can be "Yes" or "No") is for solvent diffusion. For details on this option refer to [[Diffusion Calculations]] and two additional parameters in the command.

Nairnj: /* Phase Field Transport */

2023-11-18T18:04:10Z

Phase Field Transport

← Older revision		Revision as of 18:04, 18 November 2023
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	where <math>f(\xi)</math> determines natural shape of the diffusive phase field. For example, a linear <math>f(\xi)</math> in phase field fracture replaces a sharp crack with a diffusive cracking having exponential decay in <math>\xi</math> from a crack plane. A different <math>f(\xi)</math> in battery phase field modeling replaces a sharp electrode interface with diffusive sigmoidal interface.		where <math>f(\xi)</math> determines natural shape of the diffusive phase field. For example, a linear <math>f(\xi)</math> in phase field fracture replaces a sharp crack with a diffusive cracking having exponential decay in <math>\xi</math> from a crack plane. A different <math>f(\xi)</math> in battery phase field modeling replaces a sharp electrode interface with diffusive sigmoidal interface.

	[[NairnMPM]] and [[OSParticulas]] support phase field modeling. This modeling requires two things. First, the simulation must use a material model that depends on a phase field. Second, the simulation must couple to diffusion analysis specfic for that phase field. The only phase field material currently available in [[NairnMPM]] is an [[Isotropic Phase Field Softening Material\|IsoPhaseFieldSoftening material]]. Other phase field materials in in development in [[OSParticulas]]		[[NairnMPM]] and [[OSParticulas]] support phase field modeling. This modeling requires two things. First, the simulation must use a material model that depends on a phase field. Second, the simulation must couple to diffusion analysis specfic for that phase field. The only phase field material currently available in [[NairnMPM]] is an [[Isotropic Phase Field Softening Material\|IsoPhaseFieldSoftening material]]. Other phase field materials are in development in [[OSParticulas]].

	== Electrical Conduction using Transport Analysis ==		== Electrical Conduction using Transport Analysis ==

Nairnj: /* Phase Field Transport */

2023-11-18T18:02:57Z

Phase Field Transport

← Older revision		Revision as of 18:02, 18 November 2023
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	where <math>f(\xi)</math> determines natural shape of the diffusive phase field. For example, a linear <math>f(\xi)</math> in phase field fracture replaces a sharp crack with a diffusive cracking having exponential decay in <math>\xi</math> from a crack plane. A different <math>f(\xi)</math> in battery phase field modeling replaces a sharp electrode interface with diffusive sigmoidal interface.		where <math>f(\xi)</math> determines natural shape of the diffusive phase field. For example, a linear <math>f(\xi)</math> in phase field fracture replaces a sharp crack with a diffusive cracking having exponential decay in <math>\xi</math> from a crack plane. A different <math>f(\xi)</math> in battery phase field modeling replaces a sharp electrode interface with diffusive sigmoidal interface.

	[[NairnMPM]] and [[OSParticulas]] support phase field modeling. This modeling requires two things. First, the simulation must use a material model that depends on a phase field. Second, the simulation must couple to diffusion analysis specfic for that phase field. The only phase ~~fiel~~ material ~~current~~ available in [[NairnMPM]] is an [[Isotropic Phase Field Softening Material\|IsoPhaseFieldSoftening material]]. Other phase field materials in in development in [[OSParticulas]]		[[NairnMPM]] and [[OSParticulas]] support phase field modeling. This modeling requires two things. First, the simulation must use a material model that depends on a phase field. Second, the simulation must couple to diffusion analysis specfic for that phase field. The only phase field material currently available in [[NairnMPM]] is an [[Isotropic Phase Field Softening Material\|IsoPhaseFieldSoftening material]]. Other phase field materials in in development in [[OSParticulas]]

	== Electrical Conduction using Transport Analysis ==		== Electrical Conduction using Transport Analysis ==

Nairnj: /* Phase Field Transport */

2023-11-18T18:02:08Z

Phase Field Transport

← Older revision		Revision as of 18:02, 18 November 2023
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	where <math>f(\xi)</math> determines natural shape of the diffusive phase field. For example, a linear <math>f(\xi)</math> in phase field fracture replaces a sharp crack with a diffusive cracking having exponential decay in <math>\xi</math> from a crack plane. A different <math>f(\xi)</math> in battery phase field modeling replaces a sharp electrode interface with diffusive sigmoidal interface.		where <math>f(\xi)</math> determines natural shape of the diffusive phase field. For example, a linear <math>f(\xi)</math> in phase field fracture replaces a sharp crack with a diffusive cracking having exponential decay in <math>\xi</math> from a crack plane. A different <math>f(\xi)</math> in battery phase field modeling replaces a sharp electrode interface with diffusive sigmoidal interface.

	[[NairnMPM]] and [[OSParticulas]] ~~supports~~ phase field modeling. This modeling requires two things. First, the simulation must use a material model that depends on a phase field. Second, the simulation must couple to diffusion analysis specfic for that phase field. The only phase fiel material current available in [[NairnMPM]] is an [[Isotropic Phase Field Softening Material\|IsoPhaseFieldSoftening material]]. Other phase field materials in in development in [[OSParticulas]]		[[NairnMPM]] and [[OSParticulas]] support phase field modeling. This modeling requires two things. First, the simulation must use a material model that depends on a phase field. Second, the simulation must couple to diffusion analysis specfic for that phase field. The only phase fiel material current available in [[NairnMPM]] is an [[Isotropic Phase Field Softening Material\|IsoPhaseFieldSoftening material]]. Other phase field materials in in development in [[OSParticulas]]

	== Electrical Conduction using Transport Analysis ==		== Electrical Conduction using Transport Analysis ==

Nairnj: /* Phase Field Transport */

2023-11-18T18:01:58Z

Phase Field Transport

← Older revision		Revision as of 18:01, 18 November 2023
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	where <math>f(\xi)</math> determines natural shape of the diffusive phase field. For example, a linear <math>f(\xi)</math> in phase field fracture replaces a sharp crack with a diffusive cracking having exponential decay in <math>\xi</math> from a crack plane. A different <math>f(\xi)</math> in battery phase field modeling replaces a sharp electrode interface with diffusive sigmoidal interface.		where <math>f(\xi)</math> determines natural shape of the diffusive phase field. For example, a linear <math>f(\xi)</math> in phase field fracture replaces a sharp crack with a diffusive cracking having exponential decay in <math>\xi</math> from a crack plane. A different <math>f(\xi)</math> in battery phase field modeling replaces a sharp electrode interface with diffusive sigmoidal interface.

	[[NairnMPM]] (and [[OSParticulas]]) supports phase field modeling. This modeling requires two things. First, the simulation must use a material model that depends on a phase field. Second, the simulation must couple to diffusion analysis specfic for that phase field. The only phase fiel material current available in [[NairnMPM]] is an [[Isotropic Phase Field Softening Material\|IsoPhaseFieldSoftening material]]. Other phase field materials in in development in [[OSParticulas]]		[[NairnMPM]] and [[OSParticulas]] supports phase field modeling. This modeling requires two things. First, the simulation must use a material model that depends on a phase field. Second, the simulation must couple to diffusion analysis specfic for that phase field. The only phase fiel material current available in [[NairnMPM]] is an [[Isotropic Phase Field Softening Material\|IsoPhaseFieldSoftening material]]. Other phase field materials in in development in [[OSParticulas]]

	== Electrical Conduction using Transport Analysis ==		== Electrical Conduction using Transport Analysis ==

Nairnj: /* Phase Field Transport */

2023-11-18T18:01:31Z

Phase Field Transport

← Older revision		Revision as of 18:01, 18 November 2023
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	</math>		</math>

	where <math>f(\xi)</math> determines natural shape of the diffusive phase field. For example, a linear <math>f(\xi)</math> in phase field fracture replaces a sharp crack with a diffusive cracking having exponential decay in <math>\xi</math> from a ~~damage state~~. A different <math>f(\xi)</math> in battery phase field modeling replaces a sharp electrode interface with diffusive sigmoidal interface.		where <math>f(\xi)</math> determines natural shape of the diffusive phase field. For example, a linear <math>f(\xi)</math> in phase field fracture replaces a sharp crack with a diffusive cracking having exponential decay in <math>\xi</math> from a crack plane. A different <math>f(\xi)</math> in battery phase field modeling replaces a sharp electrode interface with diffusive sigmoidal interface.

	[[NairnMPM]] (and [[OSParticulas]]) supports phase field modeling. This modeling requires two things. First, the simulation must use a material model that depends on a phase field. Second, the simulation must couple to diffusion analysis specfic for that phase field. The only phase fiel material current available in [[NairnMPM]] is an [[Isotropic Phase Field Softening Material\|IsoPhaseFieldSoftening material]]. Other phase field materials in in development in [[OSParticulas]]		[[NairnMPM]] (and [[OSParticulas]]) supports phase field modeling. This modeling requires two things. First, the simulation must use a material model that depends on a phase field. Second, the simulation must couple to diffusion analysis specfic for that phase field. The only phase fiel material current available in [[NairnMPM]] is an [[Isotropic Phase Field Softening Material\|IsoPhaseFieldSoftening material]]. Other phase field materials in in development in [[OSParticulas]]

Nairnj: /* Phase Field Transport */

2023-11-18T18:00:58Z

Phase Field Transport

← Older revision		Revision as of 18:00, 18 November 2023
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	</math>		</math>

	where <math>\xi</math> is the phase field and <math>L</math> is a mobility term (''i.e.'', diffusivity of the phase field). This diffusion-style equation models formation of the phase field and its growth or decay. The last term, <math>g(\xi)</math>, is a physical terms modeling growth or decay of a phase field. Two examples are energy promoting crack propagation (growth only) or chemical reactions modeling battery processes (charge or discharge). The first term models natural shape of the phase field. If the source term is zero, the steady-state phase field ~~geometry~~ is given by solution to:		where <math>\xi</math> is the phase field and <math>L</math> is a mobility term (''i.e.'', diffusivity of the phase field). This diffusion-style equation models formation of the phase field and its growth or decay. The last term, <math>g(\xi)</math>, is a physical terms modeling growth or decay of a phase field. Two examples are energy promoting crack propagation (growth only) or chemical reactions modeling battery processes (charge or discharge). The first term models natural shape of the phase field. If the source term is zero, the steady-state phase field is given by solution to:

Nairnj: /* Phase Field Transport */

2023-11-18T18:00:16Z

Phase Field Transport

← Older revision		Revision as of 18:00, 18 November 2023
Line 19:		Line 19:
	</math>		</math>

	where <math>\xi</math> is the phase field and <math>L</math> is a mobility term (''i.e.'', diffusivity of the phase field). This diffusion-style equation models formation of the phase field and its growth or decay. The last term, <math>g(\xi)</math>, is a physical terms modeling growth or decay of a phase field. Two examples are energy promoting crack propagation (growth only) or chemical reactions modeling battery processes (charge or discharge). The first term models natural shape of the phase field. If the source ~~termis~~ zero, the steady-state phase field geometry is given by solution to:		where <math>\xi</math> is the phase field and <math>L</math> is a mobility term (''i.e.'', diffusivity of the phase field). This diffusion-style equation models formation of the phase field and its growth or decay. The last term, <math>g(\xi)</math>, is a physical terms modeling growth or decay of a phase field. Two examples are energy promoting crack propagation (growth only) or chemical reactions modeling battery processes (charge or discharge). The first term models natural shape of the phase field. If the source term is zero, the steady-state phase field geometry is given by solution to:

Nairnj: /* Phase Field Transport */

2023-11-18T17:59:55Z

Phase Field Transport

← Older revision		Revision as of 17:59, 18 November 2023
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	</math>		</math>

	where <math>\xi</math> is the phase field and <math>L</math> is a mobility term (''i.e.'', diffusivity of the phase field). This diffusion-style equation models formation of the phase field and its growth or decay. The last term, <math>g(\xi)</math>, is a physical terms modeling growth or decay of a phase field. Two examples or energy promoting crack propagation (growth only) or chemical reactions modeling battery processes (charge or discharge). The first term models natural shape of the phase field. If the source termis zero, the steady-state phase field geometry is given by solution to:		where <math>\xi</math> is the phase field and <math>L</math> is a mobility term (''i.e.'', diffusivity of the phase field). This diffusion-style equation models formation of the phase field and its growth or decay. The last term, <math>g(\xi)</math>, is a physical terms modeling growth or decay of a phase field. Two examples are energy promoting crack propagation (growth only) or chemical reactions modeling battery processes (charge or discharge). The first term models natural shape of the phase field. If the source termis zero, the steady-state phase field geometry is given by solution to: