Smooth Particle methods - Revision history

Dduque at 14:09, 13 May 2009

2009-05-13T14:09:36Z

← Older revision		Revision as of 16:09, 13 May 2009
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	<ref>R. A. Gingold and J. J. Monaghan "Smoothed particle hydrodynamics: theory and application to non-spherical stars", Monthly Notices of the Royal Astronomical Society '''181''' pp. 375–389 (1977)</ref> in 1977 for astrophysical applications, and has since been applied to many challenging problems in fluid and solid mechanics. The main advantage of smooth-particle methods is that the partial differential equations (continuity, motion, energy) are replaced by ordinary differential equations (like [[molecular dynamics]]) describing the motion of particles. The particles can be of any size, from the microscopic to the astrophysical, and can obey any chosen constitutive equation. The main disadvantages are the difficulties in treating sharp surfaces or interfaces with discrete particles and in avoiding the instabilities that can result for materials under tension.		<ref>R. A. Gingold and J. J. Monaghan "Smoothed particle hydrodynamics: theory and application to non-spherical stars", Monthly Notices of the Royal Astronomical Society '''181''' pp. 375–389 (1977)</ref> in 1977 for astrophysical applications, and has since been applied to many challenging problems in fluid and solid mechanics. The main advantage of smooth-particle methods is that the partial differential equations (continuity, motion, energy) are replaced by ordinary differential equations (like [[molecular dynamics]]) describing the motion of particles. The particles can be of any size, from the microscopic to the astrophysical, and can obey any chosen constitutive equation. The main disadvantages are the difficulties in treating sharp surfaces or interfaces with discrete particles and in avoiding the instabilities that can result for materials under tension.

	Some works have been able to link this technique and [[dissipative particle dynamics\|DPD]]		Some works have been able to link this technique and [[dissipative particle dynamics\|DPD]], thus creating the "SDPD method"
	<ref> [http://dx.doi.org/10.1103/PhysRevE.67.026705 Pep Español and Mariano Revenga "Smoothed dissipative particle dynamics", Physical Review E '''67''' p. 026705 (2003) ] </ref>.		<ref> [http://dx.doi.org/10.1103/PhysRevE.67.026705 Pep Español and Mariano Revenga "Smoothed dissipative particle dynamics", Physical Review E '''67''' p. 026705 (2003) ] </ref>. [[Voronoi particles\| Other approach]] is to establish the volume of a particle as the volume of its [[Voronoi_cells\| Voronoi_cell]].
	==References==		==References==
	<references/>		<references/>

Dduque: Added ref.

2009-05-13T14:01:14Z

Added ref.

← Older revision		Revision as of 16:01, 13 May 2009
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	<ref>R. A. Gingold and J. J. Monaghan "Smoothed particle hydrodynamics: theory and application to non-spherical stars", Monthly Notices of the Royal Astronomical Society '''181''' pp. 375–389 (1977)</ref> in 1977 for astrophysical applications, and has since been applied to many challenging problems in fluid and solid mechanics. The main advantage of smooth-particle methods is that the partial differential equations (continuity, motion, energy) are replaced by ordinary differential equations (like [[molecular dynamics]]) describing the motion of particles. The particles can be of any size, from the microscopic to the astrophysical, and can obey any chosen constitutive equation. The main disadvantages are the difficulties in treating sharp surfaces or interfaces with discrete particles and in avoiding the instabilities that can result for materials under tension.		<ref>R. A. Gingold and J. J. Monaghan "Smoothed particle hydrodynamics: theory and application to non-spherical stars", Monthly Notices of the Royal Astronomical Society '''181''' pp. 375–389 (1977)</ref> in 1977 for astrophysical applications, and has since been applied to many challenging problems in fluid and solid mechanics. The main advantage of smooth-particle methods is that the partial differential equations (continuity, motion, energy) are replaced by ordinary differential equations (like [[molecular dynamics]]) describing the motion of particles. The particles can be of any size, from the microscopic to the astrophysical, and can obey any chosen constitutive equation. The main disadvantages are the difficulties in treating sharp surfaces or interfaces with discrete particles and in avoiding the instabilities that can result for materials under tension.

	Some works have been able to link this technique and [[dissipative particle dynamics\|DPD]].		Some works have been able to link this technique and [[dissipative particle dynamics\|DPD]]
			<ref> [http://dx.doi.org/10.1103/PhysRevE.67.026705 Pep Español and Mariano Revenga "Smoothed dissipative particle dynamics", Physical Review E '''67''' p. 026705 (2003) ] </ref>.
	==References==		==References==
	<references/>		<references/>

Dduque: Link to DPD

2009-05-13T13:59:06Z

Link to DPD

← Older revision		Revision as of 15:59, 13 May 2009
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	<ref>L. B. Lucy "A numerical approach to the testing of the fission hypothesis", Astronomical Journal '''82''' pp. 1013-1024 (1977)</ref> and by Gingold and Monaghan		<ref>L. B. Lucy "A numerical approach to the testing of the fission hypothesis", Astronomical Journal '''82''' pp. 1013-1024 (1977)</ref> and by Gingold and Monaghan
	<ref>R. A. Gingold and J. J. Monaghan "Smoothed particle hydrodynamics: theory and application to non-spherical stars", Monthly Notices of the Royal Astronomical Society '''181''' pp. 375–389 (1977)</ref> in 1977 for astrophysical applications, and has since been applied to many challenging problems in fluid and solid mechanics. The main advantage of smooth-particle methods is that the partial differential equations (continuity, motion, energy) are replaced by ordinary differential equations (like [[molecular dynamics]]) describing the motion of particles. The particles can be of any size, from the microscopic to the astrophysical, and can obey any chosen constitutive equation. The main disadvantages are the difficulties in treating sharp surfaces or interfaces with discrete particles and in avoiding the instabilities that can result for materials under tension.		<ref>R. A. Gingold and J. J. Monaghan "Smoothed particle hydrodynamics: theory and application to non-spherical stars", Monthly Notices of the Royal Astronomical Society '''181''' pp. 375–389 (1977)</ref> in 1977 for astrophysical applications, and has since been applied to many challenging problems in fluid and solid mechanics. The main advantage of smooth-particle methods is that the partial differential equations (continuity, motion, energy) are replaced by ordinary differential equations (like [[molecular dynamics]]) describing the motion of particles. The particles can be of any size, from the microscopic to the astrophysical, and can obey any chosen constitutive equation. The main disadvantages are the difficulties in treating sharp surfaces or interfaces with discrete particles and in avoiding the instabilities that can result for materials under tension.

			Some works have been able to link this technique and [[dissipative particle dynamics\|DPD]].
	==References==		==References==
	<references/>		<references/>

Nice and Tidy: Changed references to Cite format.

2009-05-13T12:50:16Z

Changed references to Cite format.

← Older revision		Revision as of 14:50, 13 May 2009
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	'''Smooth Particle Applied Mechanics''' (SPAM) and '''Smoothed Particle Hydrodynamics''' (SPH) are numerical methods for solving the equations of continuum mechanics (the [[continuity equation]], the [[equation of motion]], and the [[energy equation]]) with particles. This approach was originated by independently by Lucy (~~Ref. 1~~) and by Gingold and Monaghan (~~Ref. 2~~) in 1977 for astrophysical applications, and has since been applied to many challenging problems in fluid and solid mechanics. The main advantage of smooth-particle methods is that the partial differential equations (continuity, motion, energy) are replaced by ordinary differential equations (like [[molecular dynamics]]) describing the motion of particles. The particles can be of any size, from the microscopic to the astrophysical, and can obey any chosen constitutive equation. The main disadvantages are the difficulties in treating sharp surfaces or interfaces with discrete particles and in avoiding the instabilities that can result for materials under tension.		'''Smooth Particle Applied Mechanics''' (SPAM) and '''Smoothed Particle Hydrodynamics''' (SPH) are numerical methods for solving the equations of continuum mechanics (the [[continuity equation]], the [[equation of motion]], and the [[energy equation]]) with particles. This approach was originated by independently by Lucy
			<ref>L. B. Lucy "A numerical approach to the testing of the fission hypothesis", Astronomical Journal '''82''' pp. 1013-1024 (1977)</ref> and by Gingold and Monaghan
			<ref>R. A. Gingold and J. J. Monaghan "Smoothed particle hydrodynamics: theory and application to non-spherical stars", Monthly Notices of the Royal Astronomical Society '''181''' pp. 375–389 (1977)</ref> in 1977 for astrophysical applications, and has since been applied to many challenging problems in fluid and solid mechanics. The main advantage of smooth-particle methods is that the partial differential equations (continuity, motion, energy) are replaced by ordinary differential equations (like [[molecular dynamics]]) describing the motion of particles. The particles can be of any size, from the microscopic to the astrophysical, and can obey any chosen constitutive equation. The main disadvantages are the difficulties in treating sharp surfaces or interfaces with discrete particles and in avoiding the instabilities that can result for materials under tension.
	==References==		==References==
	~~#L. B. Lucy "A numerical approach to the testing of the fission hypothesis", Astronomical Journal '''82''' pp. 1013-1024 (1977)~~		<references/>
	~~#R. A. Gingold and J. J. Monaghan "Smoothed particle hydrodynamics: theory and application to non-spherical stars", Monthly Notices of the Royal Astronomical Society~~ '''~~181~~''' ~~pp. 375–389 (1977)~~		'''Related reading'''
	#William Graham Hoover "Smooth Particle Applied Mechanics -The State of the Art", Advanced Series in Nonlinear Dynamics '''25''' World Scientific Publishing (2006) ISBN 978-981-270-002-5		*William Graham Hoover "Smooth Particle Applied Mechanics -The State of the Art", Advanced Series in Nonlinear Dynamics '''25''' World Scientific Publishing (2006) ISBN 978-981-270-002-5
	[[Category: Computer simulation techniques]]		[[Category: Computer simulation techniques]]

Dduque: SPH means smoothED particle hydrodynamics

2009-05-13T12:31:31Z

SPH means smoothED particle hydrodynamics

← Older revision		Revision as of 14:31, 13 May 2009
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	'''Smooth Particle Applied Mechanics''' (SPAM) and '''~~Smooth~~ Particle Hydrodynamics''' (SPH) are numerical methods for solving the equations of continuum mechanics (the [[continuity equation]], the [[equation of motion]], and the [[energy equation]]) with particles. This approach was originated by independently by Lucy (Ref. 1) and by Gingold and Monaghan (Ref. 2) in 1977 for astrophysical applications, and has since been applied to many challenging problems in fluid and solid mechanics. The main advantage of smooth-particle methods is that the partial differential equations (continuity, motion, energy) are replaced by ordinary differential equations (like [[molecular dynamics]]) describing the motion of particles. The particles can be of any size, from the microscopic to the astrophysical, and can obey any chosen constitutive equation. The main disadvantages are the difficulties in treating sharp surfaces or interfaces with discrete particles and in avoiding the instabilities that can result for materials under tension.		'''Smooth Particle Applied Mechanics''' (SPAM) and '''Smoothed Particle Hydrodynamics''' (SPH) are numerical methods for solving the equations of continuum mechanics (the [[continuity equation]], the [[equation of motion]], and the [[energy equation]]) with particles. This approach was originated by independently by Lucy (Ref. 1) and by Gingold and Monaghan (Ref. 2) in 1977 for astrophysical applications, and has since been applied to many challenging problems in fluid and solid mechanics. The main advantage of smooth-particle methods is that the partial differential equations (continuity, motion, energy) are replaced by ordinary differential equations (like [[molecular dynamics]]) describing the motion of particles. The particles can be of any size, from the microscopic to the astrophysical, and can obey any chosen constitutive equation. The main disadvantages are the difficulties in treating sharp surfaces or interfaces with discrete particles and in avoiding the instabilities that can result for materials under tension.
	==References==		==References==
	#L. B. Lucy "A numerical approach to the testing of the fission hypothesis", Astronomical Journal '''82''' pp. 1013-1024 (1977)		#L. B. Lucy "A numerical approach to the testing of the fission hypothesis", Astronomical Journal '''82''' pp. 1013-1024 (1977)

Nice and Tidy: Slight tidy.

2009-02-01T15:08:46Z

Slight tidy.

← Older revision		Revision as of 17:08, 1 February 2009
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	Smooth Particle Applied Mechanics [SPAM] and Smooth Particle Hydrodynamics ~~[sph]~~ are numerical methods for solving the equations of continuum mechanics (the continuity equation, the equation of motion, and the energy equation) with particles. This approach was originated by Lucy and Monaghan in 1977 for astrophysical applications, and has since been applied to many challenging problems in fluid and solid mechanics. The main advantage of smooth-particle methods is that the partial differential equations (continuity, motion, energy) are replaced by ordinary differential equations (like molecular dynamics) describing the motion of particles. The particles can be of any size, from microscopic to ~~astophysical~~, and can obey any chosen constitutive equation. The main disadvantages ~~(or research opportunities!)~~ are the difficulties in treating sharp surfaces or interfaces with discrete particles and in avoiding the instabilities that can result for materials under tension, ~~For a recent text see Wm~~. G. Hoover's "Smooth Particle Applied Mechanics -- The State of the Art" (World Scientific~~, Singapore,~~ 2006).		'''Smooth Particle Applied Mechanics''' (SPAM) and '''Smooth Particle Hydrodynamics''' (SPH) are numerical methods for solving the equations of continuum mechanics (the [[continuity equation]], the [[equation of motion]], and the [[energy equation]]) with particles. This approach was originated by independently by Lucy (Ref. 1) and by Gingold and Monaghan (Ref. 2) in 1977 for astrophysical applications, and has since been applied to many challenging problems in fluid and solid mechanics. The main advantage of smooth-particle methods is that the partial differential equations (continuity, motion, energy) are replaced by ordinary differential equations (like [[molecular dynamics]]) describing the motion of particles. The particles can be of any size, from the microscopic to the astrophysical, and can obey any chosen constitutive equation. The main disadvantages are the difficulties in treating sharp surfaces or interfaces with discrete particles and in avoiding the instabilities that can result for materials under tension.
			==References==
			#L. B. Lucy "A numerical approach to the testing of the fission hypothesis", Astronomical Journal '''82''' pp. 1013-1024 (1977)
			#R. A. Gingold and J. J. Monaghan "Smoothed particle hydrodynamics: theory and application to non-spherical stars", Monthly Notices of the Royal Astronomical Society '''181''' pp. 375–389 (1977)
			#William Graham Hoover "Smooth Particle Applied Mechanics -The State of the Art", Advanced Series in Nonlinear Dynamics '''25''' World Scientific Publishing (2006) ISBN 978-981-270-002-5
			[[Category: Computer simulation techniques]]

70.41.222.228 at 21:16, 31 January 2009

2009-01-31T21:16:08Z

← Older revision		Revision as of 23:16, 31 January 2009
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	Smooth Particle Applied Mechanics {SPAM] and Smooth Particle Hydrodynamics [sph] are numerical methods for solving the equations of continuum mechanics (the continuity equation, the equation of motion, and the energy equation) with particles. This approach was originated by Lucy and Monaghan in 1977 for astrophysical applications, and has since been applied to many challenging problems in fluid and solid mechanics. The main advantage of smooth-particle methods is that the partial differential equations (continuity, motion, energy) are replaced by ordinary differential equations (like molecular dynamics) describing the motion of particles. The particles can be of any size, from microscopic to astophysical, and can obey any chosen constitutive equation. The main disadvantages (or research opportunities!) are the difficulties in treating sharp surfaces or interfaces with discrete particles and in avoiding the instabilities that can result for materials under tension, For a recent text see Wm. G. Hoover's "Smooth Particle Applied Mechanics -- The State of the Art (World Scientific, Singapore, 2006).		Smooth Particle Applied Mechanics [SPAM] and Smooth Particle Hydrodynamics [sph] are numerical methods for solving the equations of continuum mechanics (the continuity equation, the equation of motion, and the energy equation) with particles. This approach was originated by Lucy and Monaghan in 1977 for astrophysical applications, and has since been applied to many challenging problems in fluid and solid mechanics. The main advantage of smooth-particle methods is that the partial differential equations (continuity, motion, energy) are replaced by ordinary differential equations (like molecular dynamics) describing the motion of particles. The particles can be of any size, from microscopic to astophysical, and can obey any chosen constitutive equation. The main disadvantages (or research opportunities!) are the difficulties in treating sharp surfaces or interfaces with discrete particles and in avoiding the instabilities that can result for materials under tension, For a recent text see Wm. G. Hoover's "Smooth Particle Applied Mechanics -- The State of the Art" (World Scientific, Singapore, 2006).

70.41.222.228: SPAM and sph are particle methods for solving the continuum motion and energy equations.

2009-01-31T21:15:05Z

SPAM and sph are particle methods for solving the continuum motion and energy equations.

New page

Smooth Particle Applied Mechanics {SPAM] and Smooth Particle Hydrodynamics [sph] are numerical methods for solving the equations of continuum mechanics (the continuity equation, the equation of motion, and the energy equation) with particles. This approach was originated by Lucy and Monaghan in 1977 for astrophysical applications, and has since been applied to many challenging problems in fluid and solid mechanics. The main advantage of smooth-particle methods is that the partial differential equations (continuity, motion, energy) are replaced by ordinary differential equations (like molecular dynamics) describing the motion of particles. The particles can be of any size, from microscopic to astophysical, and can obey any chosen constitutive equation. The main disadvantages (or research opportunities!) are the difficulties in treating sharp surfaces or interfaces with discrete particles and in avoiding the instabilities that can result for materials under tension, For a recent text see Wm. G. Hoover's "Smooth Particle Applied Mechanics -- The State of the Art (World Scientific, Singapore, 2006).