The following is a list of Destruction spells available in Skyrim. The more basic ones can be bought from court wizards, but the most powerful spells must be obtained from the College of Winterhold. Each multiple of 25 skill points reached will unlock a new set of spells.

Destruction is used to deal damage to enemies and is one of Skyrim's primary offensive skills.

Trainers:

• Wuunferth the Unliving in Windhelm
• Sybille Stentor in Solitude 
• Faralda in the College of Winterhold

Novice (0)

• Flames(all players start with this spell) - Fire damage in a short range stream,  bonus damage to targets on fire
• Frostbite - Ice damage in a short ranged stream, drains stamina
• Arniel's Convection - Burns the target
• Sparks (Dunmer start with this spell) - Lighting damage in a short range stream, draines magicka

Apprentice (25)

• Fire Rune
• Firebolt - Fire missile, extra damage to targets on fire
• Frost Rune
• Ice Spike - Ice missile, damages stamina
• Lightning Rune
• Lightning Bolt - Lighting damage on target in range, damages magicka

Adept (50)

• Chain Lightning - Lightning damage that hits a target and bounces to nearby targets
• Lightning Cloak - Lighting surrounds caster, melee range enemies take shock and half magicka damage
• Fireball - Fire missile, explodes on hit, dealing fire damage in a small radius near impact
• Flame Cloak - Fire surrounds caster, melee range enemies take fire damage
• Ice Storm - Ice damage in an area of effect that moves forward slowly, damages stamina  
• Frost Cloak - Frost surrounds caster and melee range enemies take ice and stamina damage

Expert (75)

• Icy Spear - Large ice missile, moderately high frost and stamina damage, long range
• Incinerate - Fire missile, moderately high damage, extra damage if target is on fire, long range
• Thunderbolt - Large bolt of lightning, moderately high damage
• Wall of Flames - Gout of flames that burns on the floor for a while, moderate damage over time
• Wall of Frost - Spray ice on the floor which stays for a while, causing moderate frost and stamina damage over time
• Wall of Storms - Lightning that sticks to the ground and does moderate shock damage

Master (100)

• Fire Storm - Large-radius explosion centered on caster, high fire damage
• Blizzard - Conjures a large, swirling cloud of ice that damages everything, may hurt the caster
• Lightning Storm  - After charging you fire a constant beam of lightning, high lightning damage, will disintegrate targets